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Finding the Fourth Proportional to 1,387.48, 2,081.20 and 347.48

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Solution

The fourth proportional to 1,387.48, 2,081.20 and 347.48 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.48 : 2,081.20 = 347.48 : x
  2. Step 2: Convert to fraction form
    1,387.48/2,081.20 = 347.48/x
  3. Step 3: Cross multiply
    1,387.48x = 2,081.20 × 347.48
  4. Step 4: Simplify right side
    1,387.48x = 723,175.38
  5. Step 5: Solve for x
    x = 723,175.38/1,387.48
  6. Step 6: Final answer
    x = 521.21

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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.