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Finding the Fourth Proportional to 2,394.08, 3,591.52 and 1,419.68

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Solution

The fourth proportional to 2,394.08, 3,591.52 and 1,419.68 is: 2,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.08 : 3,591.52 = 1,419.68 : x
  2. Step 2: Convert to fraction form
    2,394.08/3,591.52 = 1,419.68/x
  3. Step 3: Cross multiply
    2,394.08x = 3,591.52 × 1,419.68
  4. Step 4: Simplify right side
    2,394.08x = 5,098,809.11
  5. Step 5: Solve for x
    x = 5,098,809.11/2,394.08
  6. Step 6: Final answer
    x = 2,129.76

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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.