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Finding the Fourth Proportional to 1,716.32, 2,574.93 and 742.19

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Solution

The fourth proportional to 1,716.32, 2,574.93 and 742.19 is: 1,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.32 : 2,574.93 = 742.19 : x
  2. Step 2: Convert to fraction form
    1,716.32/2,574.93 = 742.19/x
  3. Step 3: Cross multiply
    1,716.32x = 2,574.93 × 742.19
  4. Step 4: Simplify right side
    1,716.32x = 1,911,087.30
  5. Step 5: Solve for x
    x = 1,911,087.30/1,716.32
  6. Step 6: Final answer
    x = 1,113.48

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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.