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Finding the Fourth Proportional to 2,324.81, 3,488.19 and 939.13

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Solution

The fourth proportional to 2,324.81, 3,488.19 and 939.13 is: 1,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.81 : 3,488.19 = 939.13 : x
  2. Step 2: Convert to fraction form
    2,324.81/3,488.19 = 939.13/x
  3. Step 3: Cross multiply
    2,324.81x = 3,488.19 × 939.13
  4. Step 4: Simplify right side
    2,324.81x = 3,275,851.63
  5. Step 5: Solve for x
    x = 3,275,851.63/2,324.81
  6. Step 6: Final answer
    x = 1,409.08

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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.