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Finding the Fourth Proportional to 1,581.33, 2,367.39 and 921.19

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Solution

The fourth proportional to 1,581.33, 2,367.39 and 921.19 is: 1,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.33 : 2,367.39 = 921.19 : x
  2. Step 2: Convert to fraction form
    1,581.33/2,367.39 = 921.19/x
  3. Step 3: Cross multiply
    1,581.33x = 2,367.39 × 921.19
  4. Step 4: Simplify right side
    1,581.33x = 2,180,810.20
  5. Step 5: Solve for x
    x = 2,180,810.20/1,581.33
  6. Step 6: Final answer
    x = 1,379.10

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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.