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Finding the Fourth Proportional to 2,419.68, 3,612.14 and 2,313.30

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Solution

The fourth proportional to 2,419.68, 3,612.14 and 2,313.30 is: 3,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.68 : 3,612.14 = 2,313.30 : x
  2. Step 2: Convert to fraction form
    2,419.68/3,612.14 = 2,313.30/x
  3. Step 3: Cross multiply
    2,419.68x = 3,612.14 × 2,313.30
  4. Step 4: Simplify right side
    2,419.68x = 8,355,951.90
  5. Step 5: Solve for x
    x = 8,355,951.90/2,419.68
  6. Step 6: Final answer
    x = 3,453.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.