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Finding the Fourth Proportional to 1,742.48, 2,614.76 and 921.36

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Solution

The fourth proportional to 1,742.48, 2,614.76 and 921.36 is: 1,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.48 : 2,614.76 = 921.36 : x
  2. Step 2: Convert to fraction form
    1,742.48/2,614.76 = 921.36/x
  3. Step 3: Cross multiply
    1,742.48x = 2,614.76 × 921.36
  4. Step 4: Simplify right side
    1,742.48x = 2,409,135.27
  5. Step 5: Solve for x
    x = 2,409,135.27/1,742.48
  6. Step 6: Final answer
    x = 1,382.59

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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.