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Finding the Fourth Proportional to 2,882.40, 4,324.20 and 1,419.84

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Solution

The fourth proportional to 2,882.40, 4,324.20 and 1,419.84 is: 2,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.40 : 4,324.20 = 1,419.84 : x
  2. Step 2: Convert to fraction form
    2,882.40/4,324.20 = 1,419.84/x
  3. Step 3: Cross multiply
    2,882.40x = 4,324.20 × 1,419.84
  4. Step 4: Simplify right side
    2,882.40x = 6,139,672.13
  5. Step 5: Solve for x
    x = 6,139,672.13/2,882.40
  6. Step 6: Final answer
    x = 2,130.06

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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.