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Finding the Fourth Proportional to 1,545.09, 2,132.25 and 846.42

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Solution

The fourth proportional to 1,545.09, 2,132.25 and 846.42 is: 1,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.09 : 2,132.25 = 846.42 : x
  2. Step 2: Convert to fraction form
    1,545.09/2,132.25 = 846.42/x
  3. Step 3: Cross multiply
    1,545.09x = 2,132.25 × 846.42
  4. Step 4: Simplify right side
    1,545.09x = 1,804,764.15
  5. Step 5: Solve for x
    x = 1,804,764.15/1,545.09
  6. Step 6: Final answer
    x = 1,168.07

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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.