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Finding the Fourth Proportional to 2,689.97, 4,034.95 and 958.59

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Solution

The fourth proportional to 2,689.97, 4,034.95 and 958.59 is: 1,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.97 : 4,034.95 = 958.59 : x
  2. Step 2: Convert to fraction form
    2,689.97/4,034.95 = 958.59/x
  3. Step 3: Cross multiply
    2,689.97x = 4,034.95 × 958.59
  4. Step 4: Simplify right side
    2,689.97x = 3,867,860.32
  5. Step 5: Solve for x
    x = 3,867,860.32/2,689.97
  6. Step 6: Final answer
    x = 1,437.89

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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.