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Finding the Fourth Proportional to 2,702.34, 4,053.51 and 754.71

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Solution

The fourth proportional to 2,702.34, 4,053.51 and 754.71 is: 1,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.34 : 4,053.51 = 754.71 : x
  2. Step 2: Convert to fraction form
    2,702.34/4,053.51 = 754.71/x
  3. Step 3: Cross multiply
    2,702.34x = 4,053.51 × 754.71
  4. Step 4: Simplify right side
    2,702.34x = 3,059,224.53
  5. Step 5: Solve for x
    x = 3,059,224.53/2,702.34
  6. Step 6: Final answer
    x = 1,132.07

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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.