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Finding the Fourth Proportional to 2,687.86, 4,032.83 and 1,045.56

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Solution

The fourth proportional to 2,687.86, 4,032.83 and 1,045.56 is: 1,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.86 : 4,032.83 = 1,045.56 : x
  2. Step 2: Convert to fraction form
    2,687.86/4,032.83 = 1,045.56/x
  3. Step 3: Cross multiply
    2,687.86x = 4,032.83 × 1,045.56
  4. Step 4: Simplify right side
    2,687.86x = 4,216,565.73
  5. Step 5: Solve for x
    x = 4,216,565.73/2,687.86
  6. Step 6: Final answer
    x = 1,568.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.