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Finding the Fourth Proportional to 2,689.74, 4,033.35 and 1,129.41

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Solution

The fourth proportional to 2,689.74, 4,033.35 and 1,129.41 is: 1,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.74 : 4,033.35 = 1,129.41 : x
  2. Step 2: Convert to fraction form
    2,689.74/4,033.35 = 1,129.41/x
  3. Step 3: Cross multiply
    2,689.74x = 4,033.35 × 1,129.41
  4. Step 4: Simplify right side
    2,689.74x = 4,555,305.82
  5. Step 5: Solve for x
    x = 4,555,305.82/2,689.74
  6. Step 6: Final answer
    x = 1,693.59

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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.