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Finding the Fourth Proportional to 2,689.67, 4,036.06 and 1,129.55

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Solution

The fourth proportional to 2,689.67, 4,036.06 and 1,129.55 is: 1,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.67 : 4,036.06 = 1,129.55 : x
  2. Step 2: Convert to fraction form
    2,689.67/4,036.06 = 1,129.55/x
  3. Step 3: Cross multiply
    2,689.67x = 4,036.06 × 1,129.55
  4. Step 4: Simplify right side
    2,689.67x = 4,558,911.39
  5. Step 5: Solve for x
    x = 4,558,911.39/2,689.67
  6. Step 6: Final answer
    x = 1,694.97

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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.