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Finding the Fourth Proportional to 1,716.32, 2,572.20 and 742.16

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Solution

The fourth proportional to 1,716.32, 2,572.20 and 742.16 is: 1,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.32 : 2,572.20 = 742.16 : x
  2. Step 2: Convert to fraction form
    1,716.32/2,572.20 = 742.16/x
  3. Step 3: Cross multiply
    1,716.32x = 2,572.20 × 742.16
  4. Step 4: Simplify right side
    1,716.32x = 1,908,983.95
  5. Step 5: Solve for x
    x = 1,908,983.95/1,716.32
  6. Step 6: Final answer
    x = 1,112.25

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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.