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Finding the Fourth Proportional to 2,702.16, 4,053.48 and 754.38

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Solution

The fourth proportional to 2,702.16, 4,053.48 and 754.38 is: 1,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.16 : 4,053.48 = 754.38 : x
  2. Step 2: Convert to fraction form
    2,702.16/4,053.48 = 754.38/x
  3. Step 3: Cross multiply
    2,702.16x = 4,053.48 × 754.38
  4. Step 4: Simplify right side
    2,702.16x = 3,057,864.24
  5. Step 5: Solve for x
    x = 3,057,864.24/2,702.16
  6. Step 6: Final answer
    x = 1,131.64

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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.