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Finding the Fourth Proportional to 1,742.15, 2,614.17 and 962.48

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Solution

The fourth proportional to 1,742.15, 2,614.17 and 962.48 is: 1,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.15 : 2,614.17 = 962.48 : x
  2. Step 2: Convert to fraction form
    1,742.15/2,614.17 = 962.48/x
  3. Step 3: Cross multiply
    1,742.15x = 2,614.17 × 962.48
  4. Step 4: Simplify right side
    1,742.15x = 2,516,086.34
  5. Step 5: Solve for x
    x = 2,516,086.34/1,742.15
  6. Step 6: Final answer
    x = 1,444.24

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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.