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Finding the Fourth Proportional to 1,732.59, 2,596.46 and 1,154.25

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Solution

The fourth proportional to 1,732.59, 2,596.46 and 1,154.25 is: 1,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.59 : 2,596.46 = 1,154.25 : x
  2. Step 2: Convert to fraction form
    1,732.59/2,596.46 = 1,154.25/x
  3. Step 3: Cross multiply
    1,732.59x = 2,596.46 × 1,154.25
  4. Step 4: Simplify right side
    1,732.59x = 2,996,958.18
  5. Step 5: Solve for x
    x = 2,996,958.18/1,732.59
  6. Step 6: Final answer
    x = 1,729.76

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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.