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Finding the Fourth Proportional to 3,482.28, 4,805.28 and 2,084.76

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Solution

The fourth proportional to 3,482.28, 4,805.28 and 2,084.76 is: 2,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.28 : 4,805.28 = 2,084.76 : x
  2. Step 2: Convert to fraction form
    3,482.28/4,805.28 = 2,084.76/x
  3. Step 3: Cross multiply
    3,482.28x = 4,805.28 × 2,084.76
  4. Step 4: Simplify right side
    3,482.28x = 10,017,855.53
  5. Step 5: Solve for x
    x = 10,017,855.53/3,482.28
  6. Step 6: Final answer
    x = 2,876.81

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.