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Finding the Fourth Proportional to 2,402.49, 3,601.26 and 1,742.72

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Solution

The fourth proportional to 2,402.49, 3,601.26 and 1,742.72 is: 2,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.49 : 3,601.26 = 1,742.72 : x
  2. Step 2: Convert to fraction form
    2,402.49/3,601.26 = 1,742.72/x
  3. Step 3: Cross multiply
    2,402.49x = 3,601.26 × 1,742.72
  4. Step 4: Simplify right side
    2,402.49x = 6,275,996.83
  5. Step 5: Solve for x
    x = 6,275,996.83/2,402.49
  6. Step 6: Final answer
    x = 2,612.29

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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.