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Finding the Fourth Proportional to 2,118.62, 3,178.14 and 1,007.90

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Solution

The fourth proportional to 2,118.62, 3,178.14 and 1,007.90 is: 1,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.62 : 3,178.14 = 1,007.90 : x
  2. Step 2: Convert to fraction form
    2,118.62/3,178.14 = 1,007.90/x
  3. Step 3: Cross multiply
    2,118.62x = 3,178.14 × 1,007.90
  4. Step 4: Simplify right side
    2,118.62x = 3,203,247.31
  5. Step 5: Solve for x
    x = 3,203,247.31/2,118.62
  6. Step 6: Final answer
    x = 1,511.95

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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.