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Finding the Fourth Proportional to 1,241.89, 1,862.87 and 317.47

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Solution

The fourth proportional to 1,241.89, 1,862.87 and 317.47 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.89 : 1,862.87 = 317.47 : x
  2. Step 2: Convert to fraction form
    1,241.89/1,862.87 = 317.47/x
  3. Step 3: Cross multiply
    1,241.89x = 1,862.87 × 317.47
  4. Step 4: Simplify right side
    1,241.89x = 591,403.75
  5. Step 5: Solve for x
    x = 591,403.75/1,241.89
  6. Step 6: Final answer
    x = 476.21

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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.