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Finding the Fourth Proportional to 2,278.57, 3,419.30 and 1,306.57

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Solution

The fourth proportional to 2,278.57, 3,419.30 and 1,306.57 is: 1,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.57 : 3,419.30 = 1,306.57 : x
  2. Step 2: Convert to fraction form
    2,278.57/3,419.30 = 1,306.57/x
  3. Step 3: Cross multiply
    2,278.57x = 3,419.30 × 1,306.57
  4. Step 4: Simplify right side
    2,278.57x = 4,467,554.80
  5. Step 5: Solve for x
    x = 4,467,554.80/2,278.57
  6. Step 6: Final answer
    x = 1,960.68

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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.