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Finding the Fourth Proportional to 4,122.80, 6,182.04 and 1,657.52

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Solution

The fourth proportional to 4,122.80, 6,182.04 and 1,657.52 is: 2,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.80 : 6,182.04 = 1,657.52 : x
  2. Step 2: Convert to fraction form
    4,122.80/6,182.04 = 1,657.52/x
  3. Step 3: Cross multiply
    4,122.80x = 6,182.04 × 1,657.52
  4. Step 4: Simplify right side
    4,122.80x = 10,246,854.94
  5. Step 5: Solve for x
    x = 10,246,854.94/4,122.80
  6. Step 6: Final answer
    x = 2,485.41

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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.