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Finding the Fourth Proportional to 1,244.60, 1,857.76 and 1,098.80

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Solution

The fourth proportional to 1,244.60, 1,857.76 and 1,098.80 is: 1,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.60 : 1,857.76 = 1,098.80 : x
  2. Step 2: Convert to fraction form
    1,244.60/1,857.76 = 1,098.80/x
  3. Step 3: Cross multiply
    1,244.60x = 1,857.76 × 1,098.80
  4. Step 4: Simplify right side
    1,244.60x = 2,041,306.69
  5. Step 5: Solve for x
    x = 2,041,306.69/1,244.60
  6. Step 6: Final answer
    x = 1,640.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.