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Finding the Fourth Proportional to 2,411.34, 3,616.92 and 1,177.56

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Solution

The fourth proportional to 2,411.34, 3,616.92 and 1,177.56 is: 1,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.34 : 3,616.92 = 1,177.56 : x
  2. Step 2: Convert to fraction form
    2,411.34/3,616.92 = 1,177.56/x
  3. Step 3: Cross multiply
    2,411.34x = 3,616.92 × 1,177.56
  4. Step 4: Simplify right side
    2,411.34x = 4,259,140.32
  5. Step 5: Solve for x
    x = 4,259,140.32/2,411.34
  6. Step 6: Final answer
    x = 1,766.30

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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.