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Finding the Fourth Proportional to 2,118.91, 3,178.98 and 948.65

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Solution

The fourth proportional to 2,118.91, 3,178.98 and 948.65 is: 1,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.91 : 3,178.98 = 948.65 : x
  2. Step 2: Convert to fraction form
    2,118.91/3,178.98 = 948.65/x
  3. Step 3: Cross multiply
    2,118.91x = 3,178.98 × 948.65
  4. Step 4: Simplify right side
    2,118.91x = 3,015,731.43
  5. Step 5: Solve for x
    x = 3,015,731.43/2,118.91
  6. Step 6: Final answer
    x = 1,423.25

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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.