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Finding the Fourth Proportional to 2,278.70, 3,419.86 and 1,046.68

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Solution

The fourth proportional to 2,278.70, 3,419.86 and 1,046.68 is: 1,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.70 : 3,419.86 = 1,046.68 : x
  2. Step 2: Convert to fraction form
    2,278.70/3,419.86 = 1,046.68/x
  3. Step 3: Cross multiply
    2,278.70x = 3,419.86 × 1,046.68
  4. Step 4: Simplify right side
    2,278.70x = 3,579,499.06
  5. Step 5: Solve for x
    x = 3,579,499.06/2,278.70
  6. Step 6: Final answer
    x = 1,570.85

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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.