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Finding the Fourth Proportional to 1,324.54, 1,983.65 and 1,049.74

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Solution

The fourth proportional to 1,324.54, 1,983.65 and 1,049.74 is: 1,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.54 : 1,983.65 = 1,049.74 : x
  2. Step 2: Convert to fraction form
    1,324.54/1,983.65 = 1,049.74/x
  3. Step 3: Cross multiply
    1,324.54x = 1,983.65 × 1,049.74
  4. Step 4: Simplify right side
    1,324.54x = 2,082,301.58
  5. Step 5: Solve for x
    x = 2,082,301.58/1,324.54
  6. Step 6: Final answer
    x = 1,572.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.