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Finding the Fourth Proportional to 2,460.67, 3,689.93 and 959.47

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Solution

The fourth proportional to 2,460.67, 3,689.93 and 959.47 is: 1,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.67 : 3,689.93 = 959.47 : x
  2. Step 2: Convert to fraction form
    2,460.67/3,689.93 = 959.47/x
  3. Step 3: Cross multiply
    2,460.67x = 3,689.93 × 959.47
  4. Step 4: Simplify right side
    2,460.67x = 3,540,370.31
  5. Step 5: Solve for x
    x = 3,540,370.31/2,460.67
  6. Step 6: Final answer
    x = 1,438.78

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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.