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Finding the Fourth Proportional to 2,278.84, 3,419.49 and 2,113.60

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Solution

The fourth proportional to 2,278.84, 3,419.49 and 2,113.60 is: 3,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.84 : 3,419.49 = 2,113.60 : x
  2. Step 2: Convert to fraction form
    2,278.84/3,419.49 = 2,113.60/x
  3. Step 3: Cross multiply
    2,278.84x = 3,419.49 × 2,113.60
  4. Step 4: Simplify right side
    2,278.84x = 7,227,434.06
  5. Step 5: Solve for x
    x = 7,227,434.06/2,278.84
  6. Step 6: Final answer
    x = 3,171.54

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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.