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Finding the Fourth Proportional to 2,463.13, 3,695.64 and 1,164.70

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Solution

The fourth proportional to 2,463.13, 3,695.64 and 1,164.70 is: 1,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.13 : 3,695.64 = 1,164.70 : x
  2. Step 2: Convert to fraction form
    2,463.13/3,695.64 = 1,164.70/x
  3. Step 3: Cross multiply
    2,463.13x = 3,695.64 × 1,164.70
  4. Step 4: Simplify right side
    2,463.13x = 4,304,311.91
  5. Step 5: Solve for x
    x = 4,304,311.91/2,463.13
  6. Step 6: Final answer
    x = 1,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.