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Finding the Fourth Proportional to 1,645.92, 2,469.76 and 1,098.40

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Solution

The fourth proportional to 1,645.92, 2,469.76 and 1,098.40 is: 1,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.92 : 2,469.76 = 1,098.40 : x
  2. Step 2: Convert to fraction form
    1,645.92/2,469.76 = 1,098.40/x
  3. Step 3: Cross multiply
    1,645.92x = 2,469.76 × 1,098.40
  4. Step 4: Simplify right side
    1,645.92x = 2,712,784.38
  5. Step 5: Solve for x
    x = 2,712,784.38/1,645.92
  6. Step 6: Final answer
    x = 1,648.19

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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.