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Finding the Fourth Proportional to 2,278.72, 3,419.38 and 962.38

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Solution

The fourth proportional to 2,278.72, 3,419.38 and 962.38 is: 1,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.72 : 3,419.38 = 962.38 : x
  2. Step 2: Convert to fraction form
    2,278.72/3,419.38 = 962.38/x
  3. Step 3: Cross multiply
    2,278.72x = 3,419.38 × 962.38
  4. Step 4: Simplify right side
    2,278.72x = 3,290,742.92
  5. Step 5: Solve for x
    x = 3,290,742.92/2,278.72
  6. Step 6: Final answer
    x = 1,444.12

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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.