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Finding the Fourth Proportional to 2,118.73, 3,178.10 and 948.43

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Solution

The fourth proportional to 2,118.73, 3,178.10 and 948.43 is: 1,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.73 : 3,178.10 = 948.43 : x
  2. Step 2: Convert to fraction form
    2,118.73/3,178.10 = 948.43/x
  3. Step 3: Cross multiply
    2,118.73x = 3,178.10 × 948.43
  4. Step 4: Simplify right side
    2,118.73x = 3,014,205.38
  5. Step 5: Solve for x
    x = 3,014,205.38/2,118.73
  6. Step 6: Final answer
    x = 1,422.65

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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.