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Finding the Fourth Proportional to 3,101.80, 4,651.62 and 1,252.30

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Solution

The fourth proportional to 3,101.80, 4,651.62 and 1,252.30 is: 1,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.80 : 4,651.62 = 1,252.30 : x
  2. Step 2: Convert to fraction form
    3,101.80/4,651.62 = 1,252.30/x
  3. Step 3: Cross multiply
    3,101.80x = 4,651.62 × 1,252.30
  4. Step 4: Simplify right side
    3,101.80x = 5,825,223.73
  5. Step 5: Solve for x
    x = 5,825,223.73/3,101.80
  6. Step 6: Final answer
    x = 1,878.01

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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.