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Finding the Fourth Proportional to 2,240.74, 3,360.12 and 778.87

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Solution

The fourth proportional to 2,240.74, 3,360.12 and 778.87 is: 1,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.74 : 3,360.12 = 778.87 : x
  2. Step 2: Convert to fraction form
    2,240.74/3,360.12 = 778.87/x
  3. Step 3: Cross multiply
    2,240.74x = 3,360.12 × 778.87
  4. Step 4: Simplify right side
    2,240.74x = 2,617,096.66
  5. Step 5: Solve for x
    x = 2,617,096.66/2,240.74
  6. Step 6: Final answer
    x = 1,167.96

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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.