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Finding the Fourth Proportional to 2,285.98, 3,154.50 and 1,291.30

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Solution

The fourth proportional to 2,285.98, 3,154.50 and 1,291.30 is: 1,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.98 : 3,154.50 = 1,291.30 : x
  2. Step 2: Convert to fraction form
    2,285.98/3,154.50 = 1,291.30/x
  3. Step 3: Cross multiply
    2,285.98x = 3,154.50 × 1,291.30
  4. Step 4: Simplify right side
    2,285.98x = 4,073,405.85
  5. Step 5: Solve for x
    x = 4,073,405.85/2,285.98
  6. Step 6: Final answer
    x = 1,781.91

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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.