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Finding the Fourth Proportional to 1,654.87, 2,282.98 and 1,065.28

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Solution

The fourth proportional to 1,654.87, 2,282.98 and 1,065.28 is: 1,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.87 : 2,282.98 = 1,065.28 : x
  2. Step 2: Convert to fraction form
    1,654.87/2,282.98 = 1,065.28/x
  3. Step 3: Cross multiply
    1,654.87x = 2,282.98 × 1,065.28
  4. Step 4: Simplify right side
    1,654.87x = 2,432,012.93
  5. Step 5: Solve for x
    x = 2,432,012.93/1,654.87
  6. Step 6: Final answer
    x = 1,469.61

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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.