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Finding the Fourth Proportional to 2,472.14, 3,707.63 and 716.68

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Solution

The fourth proportional to 2,472.14, 3,707.63 and 716.68 is: 1,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.14 : 3,707.63 = 716.68 : x
  2. Step 2: Convert to fraction form
    2,472.14/3,707.63 = 716.68/x
  3. Step 3: Cross multiply
    2,472.14x = 3,707.63 × 716.68
  4. Step 4: Simplify right side
    2,472.14x = 2,657,180.69
  5. Step 5: Solve for x
    x = 2,657,180.69/2,472.14
  6. Step 6: Final answer
    x = 1,074.85

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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.