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Finding the Fourth Proportional to 2,101.52, 3,151.08 and 714.16

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Solution

The fourth proportional to 2,101.52, 3,151.08 and 714.16 is: 1,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.52 : 3,151.08 = 714.16 : x
  2. Step 2: Convert to fraction form
    2,101.52/3,151.08 = 714.16/x
  3. Step 3: Cross multiply
    2,101.52x = 3,151.08 × 714.16
  4. Step 4: Simplify right side
    2,101.52x = 2,250,375.29
  5. Step 5: Solve for x
    x = 2,250,375.29/2,101.52
  6. Step 6: Final answer
    x = 1,070.83

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