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Finding the Fourth Proportional to 2,240.12, 3,360.18 and 778.26

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Solution

The fourth proportional to 2,240.12, 3,360.18 and 778.26 is: 1,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.12 : 3,360.18 = 778.26 : x
  2. Step 2: Convert to fraction form
    2,240.12/3,360.18 = 778.26/x
  3. Step 3: Cross multiply
    2,240.12x = 3,360.18 × 778.26
  4. Step 4: Simplify right side
    2,240.12x = 2,615,093.69
  5. Step 5: Solve for x
    x = 2,615,093.69/2,240.12
  6. Step 6: Final answer
    x = 1,167.39

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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.