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Finding the Fourth Proportional to 1,241, 1,862.36 and 876.12

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Solution

The fourth proportional to 1,241, 1,862.36 and 876.12 is: 1,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241 : 1,862.36 = 876.12 : x
  2. Step 2: Convert to fraction form
    1,241/1,862.36 = 876.12/x
  3. Step 3: Cross multiply
    1,241x = 1,862.36 × 876.12
  4. Step 4: Simplify right side
    1,241x = 1,631,650.84
  5. Step 5: Solve for x
    x = 1,631,650.84/1,241
  6. Step 6: Final answer
    x = 1,314.79

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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.