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Finding the Fourth Proportional to 3,294.76, 4,547.76 and 2,036.20

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Solution

The fourth proportional to 3,294.76, 4,547.76 and 2,036.20 is: 2,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.76 : 4,547.76 = 2,036.20 : x
  2. Step 2: Convert to fraction form
    3,294.76/4,547.76 = 2,036.20/x
  3. Step 3: Cross multiply
    3,294.76x = 4,547.76 × 2,036.20
  4. Step 4: Simplify right side
    3,294.76x = 9,260,148.91
  5. Step 5: Solve for x
    x = 9,260,148.91/3,294.76
  6. Step 6: Final answer
    x = 2,810.57

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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.