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Finding the Fourth Proportional to 1,660.86, 2,291.37 and 1,071.18

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Solution

The fourth proportional to 1,660.86, 2,291.37 and 1,071.18 is: 1,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.86 : 2,291.37 = 1,071.18 : x
  2. Step 2: Convert to fraction form
    1,660.86/2,291.37 = 1,071.18/x
  3. Step 3: Cross multiply
    1,660.86x = 2,291.37 × 1,071.18
  4. Step 4: Simplify right side
    1,660.86x = 2,454,469.72
  5. Step 5: Solve for x
    x = 2,454,469.72/1,660.86
  6. Step 6: Final answer
    x = 1,477.83

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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.