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Finding the Fourth Proportional to 3,084.84, 4,627.49 and 976.95

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Solution

The fourth proportional to 3,084.84, 4,627.49 and 976.95 is: 1,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.84 : 4,627.49 = 976.95 : x
  2. Step 2: Convert to fraction form
    3,084.84/4,627.49 = 976.95/x
  3. Step 3: Cross multiply
    3,084.84x = 4,627.49 × 976.95
  4. Step 4: Simplify right side
    3,084.84x = 4,520,821.47
  5. Step 5: Solve for x
    x = 4,520,821.47/3,084.84
  6. Step 6: Final answer
    x = 1,465.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.