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Finding the Fourth Proportional to 2,174.52, 3,260.40 and 1,657.86

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Solution

The fourth proportional to 2,174.52, 3,260.40 and 1,657.86 is: 2,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.52 : 3,260.40 = 1,657.86 : x
  2. Step 2: Convert to fraction form
    2,174.52/3,260.40 = 1,657.86/x
  3. Step 3: Cross multiply
    2,174.52x = 3,260.40 × 1,657.86
  4. Step 4: Simplify right side
    2,174.52x = 5,405,286.74
  5. Step 5: Solve for x
    x = 5,405,286.74/2,174.52
  6. Step 6: Final answer
    x = 2,485.74

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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.