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Finding the Fourth Proportional to 2,689.58, 4,032.92 and 1,229.06

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Solution

The fourth proportional to 2,689.58, 4,032.92 and 1,229.06 is: 1,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.58 : 4,032.92 = 1,229.06 : x
  2. Step 2: Convert to fraction form
    2,689.58/4,032.92 = 1,229.06/x
  3. Step 3: Cross multiply
    2,689.58x = 4,032.92 × 1,229.06
  4. Step 4: Simplify right side
    2,689.58x = 4,956,700.66
  5. Step 5: Solve for x
    x = 4,956,700.66/2,689.58
  6. Step 6: Final answer
    x = 1,842.93

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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.