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Finding the Fourth Proportional to 2,374.57, 3,278.12 and 1,491.27

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Solution

The fourth proportional to 2,374.57, 3,278.12 and 1,491.27 is: 2,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.57 : 3,278.12 = 1,491.27 : x
  2. Step 2: Convert to fraction form
    2,374.57/3,278.12 = 1,491.27/x
  3. Step 3: Cross multiply
    2,374.57x = 3,278.12 × 1,491.27
  4. Step 4: Simplify right side
    2,374.57x = 4,888,562.01
  5. Step 5: Solve for x
    x = 4,888,562.01/2,374.57
  6. Step 6: Final answer
    x = 2,058.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.