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Finding the Fourth Proportional to 2,231.64, 3,348.18 and 1,870.20

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Solution

The fourth proportional to 2,231.64, 3,348.18 and 1,870.20 is: 2,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.64 : 3,348.18 = 1,870.20 : x
  2. Step 2: Convert to fraction form
    2,231.64/3,348.18 = 1,870.20/x
  3. Step 3: Cross multiply
    2,231.64x = 3,348.18 × 1,870.20
  4. Step 4: Simplify right side
    2,231.64x = 6,261,766.24
  5. Step 5: Solve for x
    x = 6,261,766.24/2,231.64
  6. Step 6: Final answer
    x = 2,805.90

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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.