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Finding the Fourth Proportional to 2,705.92, 3,730.54 and 2,429.13

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Solution

The fourth proportional to 2,705.92, 3,730.54 and 2,429.13 is: 3,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.92 : 3,730.54 = 2,429.13 : x
  2. Step 2: Convert to fraction form
    2,705.92/3,730.54 = 2,429.13/x
  3. Step 3: Cross multiply
    2,705.92x = 3,730.54 × 2,429.13
  4. Step 4: Simplify right side
    2,705.92x = 9,061,963.12
  5. Step 5: Solve for x
    x = 9,061,963.12/2,705.92
  6. Step 6: Final answer
    x = 3,348.94

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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.