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Finding the Fourth Proportional to 2,491.60, 3,438.54 and 1,496.92

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Solution

The fourth proportional to 2,491.60, 3,438.54 and 1,496.92 is: 2,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.60 : 3,438.54 = 1,496.92 : x
  2. Step 2: Convert to fraction form
    2,491.60/3,438.54 = 1,496.92/x
  3. Step 3: Cross multiply
    2,491.60x = 3,438.54 × 1,496.92
  4. Step 4: Simplify right side
    2,491.60x = 5,147,219.30
  5. Step 5: Solve for x
    x = 5,147,219.30/2,491.60
  6. Step 6: Final answer
    x = 2,065.83

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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.