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Finding the Fourth Proportional to 2,349.60, 3,525.55 and 1,660.70

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Solution

The fourth proportional to 2,349.60, 3,525.55 and 1,660.70 is: 2,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.60 : 3,525.55 = 1,660.70 : x
  2. Step 2: Convert to fraction form
    2,349.60/3,525.55 = 1,660.70/x
  3. Step 3: Cross multiply
    2,349.60x = 3,525.55 × 1,660.70
  4. Step 4: Simplify right side
    2,349.60x = 5,854,867.91
  5. Step 5: Solve for x
    x = 5,854,867.91/2,349.60
  6. Step 6: Final answer
    x = 2,491.86

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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.