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Finding the Fourth Proportional to 2,278.71, 3,419.14 and 962.76

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Solution

The fourth proportional to 2,278.71, 3,419.14 and 962.76 is: 1,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.71 : 3,419.14 = 962.76 : x
  2. Step 2: Convert to fraction form
    2,278.71/3,419.14 = 962.76/x
  3. Step 3: Cross multiply
    2,278.71x = 3,419.14 × 962.76
  4. Step 4: Simplify right side
    2,278.71x = 3,291,811.23
  5. Step 5: Solve for x
    x = 3,291,811.23/2,278.71
  6. Step 6: Final answer
    x = 1,444.59

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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.