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Finding the Fourth Proportional to 1,732.67, 2,597.56 and 807.75

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Solution

The fourth proportional to 1,732.67, 2,597.56 and 807.75 is: 1,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.67 : 2,597.56 = 807.75 : x
  2. Step 2: Convert to fraction form
    1,732.67/2,597.56 = 807.75/x
  3. Step 3: Cross multiply
    1,732.67x = 2,597.56 × 807.75
  4. Step 4: Simplify right side
    1,732.67x = 2,098,179.09
  5. Step 5: Solve for x
    x = 2,098,179.09/1,732.67
  6. Step 6: Final answer
    x = 1,210.95

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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.