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Finding the Fourth Proportional to 1,248.62, 1,861.68 and 1,144.53

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Solution

The fourth proportional to 1,248.62, 1,861.68 and 1,144.53 is: 1,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.62 : 1,861.68 = 1,144.53 : x
  2. Step 2: Convert to fraction form
    1,248.62/1,861.68 = 1,144.53/x
  3. Step 3: Cross multiply
    1,248.62x = 1,861.68 × 1,144.53
  4. Step 4: Simplify right side
    1,248.62x = 2,130,752.90
  5. Step 5: Solve for x
    x = 2,130,752.90/1,248.62
  6. Step 6: Final answer
    x = 1,706.49

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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.