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Finding the Fourth Proportional to 1,542.75, 2,315.32 and 1,148.32

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Solution

The fourth proportional to 1,542.75, 2,315.32 and 1,148.32 is: 1,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.75 : 2,315.32 = 1,148.32 : x
  2. Step 2: Convert to fraction form
    1,542.75/2,315.32 = 1,148.32/x
  3. Step 3: Cross multiply
    1,542.75x = 2,315.32 × 1,148.32
  4. Step 4: Simplify right side
    1,542.75x = 2,658,722.52
  5. Step 5: Solve for x
    x = 2,658,722.52/1,542.75
  6. Step 6: Final answer
    x = 1,723.37

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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.