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Finding the Fourth Proportional to 2,689.89, 4,029.88 and 1,713.93

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Solution

The fourth proportional to 2,689.89, 4,029.88 and 1,713.93 is: 2,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.89 : 4,029.88 = 1,713.93 : x
  2. Step 2: Convert to fraction form
    2,689.89/4,029.88 = 1,713.93/x
  3. Step 3: Cross multiply
    2,689.89x = 4,029.88 × 1,713.93
  4. Step 4: Simplify right side
    2,689.89x = 6,906,932.23
  5. Step 5: Solve for x
    x = 6,906,932.23/2,689.89
  6. Step 6: Final answer
    x = 2,567.74

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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.