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Finding the Fourth Proportional to 1,349.46, 1,857.42 and 1,125.90

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Solution

The fourth proportional to 1,349.46, 1,857.42 and 1,125.90 is: 1,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.46 : 1,857.42 = 1,125.90 : x
  2. Step 2: Convert to fraction form
    1,349.46/1,857.42 = 1,125.90/x
  3. Step 3: Cross multiply
    1,349.46x = 1,857.42 × 1,125.90
  4. Step 4: Simplify right side
    1,349.46x = 2,091,269.18
  5. Step 5: Solve for x
    x = 2,091,269.18/1,349.46
  6. Step 6: Final answer
    x = 1,549.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.