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Finding the Fourth Proportional to 4,463.53, 6,693.76 and 1,691.00

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Solution

The fourth proportional to 4,463.53, 6,693.76 and 1,691.00 is: 2,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.53 : 6,693.76 = 1,691.00 : x
  2. Step 2: Convert to fraction form
    4,463.53/6,693.76 = 1,691.00/x
  3. Step 3: Cross multiply
    4,463.53x = 6,693.76 × 1,691.00
  4. Step 4: Simplify right side
    4,463.53x = 11,319,112.43
  5. Step 5: Solve for x
    x = 11,319,112.43/4,463.53
  6. Step 6: Final answer
    x = 2,535.91

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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.