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Finding the Fourth Proportional to 2,449.69, 3,675.14 and 718.31

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Solution

The fourth proportional to 2,449.69, 3,675.14 and 718.31 is: 1,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.69 : 3,675.14 = 718.31 : x
  2. Step 2: Convert to fraction form
    2,449.69/3,675.14 = 718.31/x
  3. Step 3: Cross multiply
    2,449.69x = 3,675.14 × 718.31
  4. Step 4: Simplify right side
    2,449.69x = 2,639,898.10
  5. Step 5: Solve for x
    x = 2,639,898.10/2,449.69
  6. Step 6: Final answer
    x = 1,077.65

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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.