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Finding the Fourth Proportional to 2,281.83, 3,149.18 and 1,908.15

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Solution

The fourth proportional to 2,281.83, 3,149.18 and 1,908.15 is: 2,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.83 : 3,149.18 = 1,908.15 : x
  2. Step 2: Convert to fraction form
    2,281.83/3,149.18 = 1,908.15/x
  3. Step 3: Cross multiply
    2,281.83x = 3,149.18 × 1,908.15
  4. Step 4: Simplify right side
    2,281.83x = 6,009,107.82
  5. Step 5: Solve for x
    x = 6,009,107.82/2,281.83
  6. Step 6: Final answer
    x = 2,633.46

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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.