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Finding the Fourth Proportional to 1,324.86, 1,983.85 and 1,285.90

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Solution

The fourth proportional to 1,324.86, 1,983.85 and 1,285.90 is: 1,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.86 : 1,983.85 = 1,285.90 : x
  2. Step 2: Convert to fraction form
    1,324.86/1,983.85 = 1,285.90/x
  3. Step 3: Cross multiply
    1,324.86x = 1,983.85 × 1,285.90
  4. Step 4: Simplify right side
    1,324.86x = 2,551,032.72
  5. Step 5: Solve for x
    x = 2,551,032.72/1,324.86
  6. Step 6: Final answer
    x = 1,925.51

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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.