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Finding the Fourth Proportional to 1,241.61, 1,862.42 and 590.37

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Solution

The fourth proportional to 1,241.61, 1,862.42 and 590.37 is: 885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.61 : 1,862.42 = 590.37 : x
  2. Step 2: Convert to fraction form
    1,241.61/1,862.42 = 590.37/x
  3. Step 3: Cross multiply
    1,241.61x = 1,862.42 × 590.37
  4. Step 4: Simplify right side
    1,241.61x = 1,099,513.94
  5. Step 5: Solve for x
    x = 1,099,513.94/1,241.61
  6. Step 6: Final answer
    x = 885.56

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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.