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Finding the Fourth Proportional to 1,660.86, 2,291.51 and 1,071.73

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Solution

The fourth proportional to 1,660.86, 2,291.51 and 1,071.73 is: 1,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.86 : 2,291.51 = 1,071.73 : x
  2. Step 2: Convert to fraction form
    1,660.86/2,291.51 = 1,071.73/x
  3. Step 3: Cross multiply
    1,660.86x = 2,291.51 × 1,071.73
  4. Step 4: Simplify right side
    1,660.86x = 2,455,883.06
  5. Step 5: Solve for x
    x = 2,455,883.06/1,660.86
  6. Step 6: Final answer
    x = 1,478.69

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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.