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Finding the Fourth Proportional to 2,612.46, 3,605.50 and 1,617.78

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Solution

The fourth proportional to 2,612.46, 3,605.50 and 1,617.78 is: 2,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.46 : 3,605.50 = 1,617.78 : x
  2. Step 2: Convert to fraction form
    2,612.46/3,605.50 = 1,617.78/x
  3. Step 3: Cross multiply
    2,612.46x = 3,605.50 × 1,617.78
  4. Step 4: Simplify right side
    2,612.46x = 5,832,905.79
  5. Step 5: Solve for x
    x = 5,832,905.79/2,612.46
  6. Step 6: Final answer
    x = 2,232.73

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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.