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Finding the Fourth Proportional to 1,716.02, 2,575.18 and 742.22

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Solution

The fourth proportional to 1,716.02, 2,575.18 and 742.22 is: 1,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.02 : 2,575.18 = 742.22 : x
  2. Step 2: Convert to fraction form
    1,716.02/2,575.18 = 742.22/x
  3. Step 3: Cross multiply
    1,716.02x = 2,575.18 × 742.22
  4. Step 4: Simplify right side
    1,716.02x = 1,911,350.10
  5. Step 5: Solve for x
    x = 1,911,350.10/1,716.02
  6. Step 6: Final answer
    x = 1,113.83

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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.