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Finding the Fourth Proportional to 2,678.25, 4,016.32 and 922.92

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Solution

The fourth proportional to 2,678.25, 4,016.32 and 922.92 is: 1,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.25 : 4,016.32 = 922.92 : x
  2. Step 2: Convert to fraction form
    2,678.25/4,016.32 = 922.92/x
  3. Step 3: Cross multiply
    2,678.25x = 4,016.32 × 922.92
  4. Step 4: Simplify right side
    2,678.25x = 3,706,742.05
  5. Step 5: Solve for x
    x = 3,706,742.05/2,678.25
  6. Step 6: Final answer
    x = 1,384.02

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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.