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Finding the Fourth Proportional to 1,446.14, 2,167.13 and 714.86

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Solution

The fourth proportional to 1,446.14, 2,167.13 and 714.86 is: 1,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.14 : 2,167.13 = 714.86 : x
  2. Step 2: Convert to fraction form
    1,446.14/2,167.13 = 714.86/x
  3. Step 3: Cross multiply
    1,446.14x = 2,167.13 × 714.86
  4. Step 4: Simplify right side
    1,446.14x = 1,549,194.55
  5. Step 5: Solve for x
    x = 1,549,194.55/1,446.14
  6. Step 6: Final answer
    x = 1,071.26

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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.