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Finding the Fourth Proportional to 1,241.20, 1,714.48 and 1,006.02

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Solution

The fourth proportional to 1,241.20, 1,714.48 and 1,006.02 is: 1,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.20 : 1,714.48 = 1,006.02 : x
  2. Step 2: Convert to fraction form
    1,241.20/1,714.48 = 1,006.02/x
  3. Step 3: Cross multiply
    1,241.20x = 1,714.48 × 1,006.02
  4. Step 4: Simplify right side
    1,241.20x = 1,724,801.17
  5. Step 5: Solve for x
    x = 1,724,801.17/1,241.20
  6. Step 6: Final answer
    x = 1,389.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.