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Finding the Fourth Proportional to 2,463.52, 3,695.76 and 1,310.56

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Solution

The fourth proportional to 2,463.52, 3,695.76 and 1,310.56 is: 1,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.52 : 3,695.76 = 1,310.56 : x
  2. Step 2: Convert to fraction form
    2,463.52/3,695.76 = 1,310.56/x
  3. Step 3: Cross multiply
    2,463.52x = 3,695.76 × 1,310.56
  4. Step 4: Simplify right side
    2,463.52x = 4,843,515.23
  5. Step 5: Solve for x
    x = 4,843,515.23/2,463.52
  6. Step 6: Final answer
    x = 1,966.10

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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.