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Finding the Fourth Proportional to 2,170.68, 3,252.24 and 1,807.80

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Solution

The fourth proportional to 2,170.68, 3,252.24 and 1,807.80 is: 2,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.68 : 3,252.24 = 1,807.80 : x
  2. Step 2: Convert to fraction form
    2,170.68/3,252.24 = 1,807.80/x
  3. Step 3: Cross multiply
    2,170.68x = 3,252.24 × 1,807.80
  4. Step 4: Simplify right side
    2,170.68x = 5,879,399.47
  5. Step 5: Solve for x
    x = 5,879,399.47/2,170.68
  6. Step 6: Final answer
    x = 2,708.55

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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.