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Finding the Fourth Proportional to 1,716.09, 2,575.20 and 742.20

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Solution

The fourth proportional to 1,716.09, 2,575.20 and 742.20 is: 1,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.09 : 2,575.20 = 742.20 : x
  2. Step 2: Convert to fraction form
    1,716.09/2,575.20 = 742.20/x
  3. Step 3: Cross multiply
    1,716.09x = 2,575.20 × 742.20
  4. Step 4: Simplify right side
    1,716.09x = 1,911,313.44
  5. Step 5: Solve for x
    x = 1,911,313.44/1,716.09
  6. Step 6: Final answer
    x = 1,113.76

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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.