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Finding the Fourth Proportional to 2,652.70, 3,977.97 and 1,151.82

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Solution

The fourth proportional to 2,652.70, 3,977.97 and 1,151.82 is: 1,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.70 : 3,977.97 = 1,151.82 : x
  2. Step 2: Convert to fraction form
    2,652.70/3,977.97 = 1,151.82/x
  3. Step 3: Cross multiply
    2,652.70x = 3,977.97 × 1,151.82
  4. Step 4: Simplify right side
    2,652.70x = 4,581,886.17
  5. Step 5: Solve for x
    x = 4,581,886.17/2,652.70
  6. Step 6: Final answer
    x = 1,727.25

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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.