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Finding the Fourth Proportional to 1,545.31, 2,132.57 and 846.69

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Solution

The fourth proportional to 1,545.31, 2,132.57 and 846.69 is: 1,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.31 : 2,132.57 = 846.69 : x
  2. Step 2: Convert to fraction form
    1,545.31/2,132.57 = 846.69/x
  3. Step 3: Cross multiply
    1,545.31x = 2,132.57 × 846.69
  4. Step 4: Simplify right side
    1,545.31x = 1,805,625.69
  5. Step 5: Solve for x
    x = 1,805,625.69/1,545.31
  6. Step 6: Final answer
    x = 1,168.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.