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Finding the Fourth Proportional to 2,360.78, 3,535.69 and 2,278.78

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Solution

The fourth proportional to 2,360.78, 3,535.69 and 2,278.78 is: 3,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.78 : 3,535.69 = 2,278.78 : x
  2. Step 2: Convert to fraction form
    2,360.78/3,535.69 = 2,278.78/x
  3. Step 3: Cross multiply
    2,360.78x = 3,535.69 × 2,278.78
  4. Step 4: Simplify right side
    2,360.78x = 8,057,059.66
  5. Step 5: Solve for x
    x = 8,057,059.66/2,360.78
  6. Step 6: Final answer
    x = 3,412.88

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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.