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Finding the Fourth Proportional to 2,411.98, 3,617.73 and 769.70

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Solution

The fourth proportional to 2,411.98, 3,617.73 and 769.70 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.98 : 3,617.73 = 769.70 : x
  2. Step 2: Convert to fraction form
    2,411.98/3,617.73 = 769.70/x
  3. Step 3: Cross multiply
    2,411.98x = 3,617.73 × 769.70
  4. Step 4: Simplify right side
    2,411.98x = 2,784,575.83
  5. Step 5: Solve for x
    x = 2,784,575.83/2,411.98
  6. Step 6: Final answer
    x = 1,154.48

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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.