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Finding the Fourth Proportional to 3,146.70, 4,717.97 and 1,760.18

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Solution

The fourth proportional to 3,146.70, 4,717.97 and 1,760.18 is: 2,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.70 : 4,717.97 = 1,760.18 : x
  2. Step 2: Convert to fraction form
    3,146.70/4,717.97 = 1,760.18/x
  3. Step 3: Cross multiply
    3,146.70x = 4,717.97 × 1,760.18
  4. Step 4: Simplify right side
    3,146.70x = 8,304,468.34
  5. Step 5: Solve for x
    x = 8,304,468.34/3,146.70
  6. Step 6: Final answer
    x = 2,639.11

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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.