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Finding the Fourth Proportional to 2,622.95, 3,934.41 and 675.14

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Solution

The fourth proportional to 2,622.95, 3,934.41 and 675.14 is: 1,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.95 : 3,934.41 = 675.14 : x
  2. Step 2: Convert to fraction form
    2,622.95/3,934.41 = 675.14/x
  3. Step 3: Cross multiply
    2,622.95x = 3,934.41 × 675.14
  4. Step 4: Simplify right side
    2,622.95x = 2,656,257.90
  5. Step 5: Solve for x
    x = 2,656,257.90/2,622.95
  6. Step 6: Final answer
    x = 1,012.70

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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.