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Finding the Fourth Proportional to 1,731.44, 2,597.24 and 807.84

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Solution

The fourth proportional to 1,731.44, 2,597.24 and 807.84 is: 1,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.44 : 2,597.24 = 807.84 : x
  2. Step 2: Convert to fraction form
    1,731.44/2,597.24 = 807.84/x
  3. Step 3: Cross multiply
    1,731.44x = 2,597.24 × 807.84
  4. Step 4: Simplify right side
    1,731.44x = 2,098,154.36
  5. Step 5: Solve for x
    x = 2,098,154.36/1,731.44
  6. Step 6: Final answer
    x = 1,211.80

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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.