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Finding the Fourth Proportional to 1,241.47, 1,862.20 and 317.02

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Solution

The fourth proportional to 1,241.47, 1,862.20 and 317.02 is: 475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.47 : 1,862.20 = 317.02 : x
  2. Step 2: Convert to fraction form
    1,241.47/1,862.20 = 317.02/x
  3. Step 3: Cross multiply
    1,241.47x = 1,862.20 × 317.02
  4. Step 4: Simplify right side
    1,241.47x = 590,357.71
  5. Step 5: Solve for x
    x = 590,357.71/1,241.47
  6. Step 6: Final answer
    x = 475.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.