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Finding the Fourth Proportional to 2,234.80, 3,084.47 and 1,291.21

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Solution

The fourth proportional to 2,234.80, 3,084.47 and 1,291.21 is: 1,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.80 : 3,084.47 = 1,291.21 : x
  2. Step 2: Convert to fraction form
    2,234.80/3,084.47 = 1,291.21/x
  3. Step 3: Cross multiply
    2,234.80x = 3,084.47 × 1,291.21
  4. Step 4: Simplify right side
    2,234.80x = 3,982,689.18
  5. Step 5: Solve for x
    x = 3,982,689.18/2,234.80
  6. Step 6: Final answer
    x = 1,782.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.