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Finding the Fourth Proportional to 1,660.80, 2,292.72 and 1,286.93

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Solution

The fourth proportional to 1,660.80, 2,292.72 and 1,286.93 is: 1,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.80 : 2,292.72 = 1,286.93 : x
  2. Step 2: Convert to fraction form
    1,660.80/2,292.72 = 1,286.93/x
  3. Step 3: Cross multiply
    1,660.80x = 2,292.72 × 1,286.93
  4. Step 4: Simplify right side
    1,660.80x = 2,950,564.42
  5. Step 5: Solve for x
    x = 2,950,564.42/1,660.80
  6. Step 6: Final answer
    x = 1,776.60

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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.