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Finding the Fourth Proportional to 2,240.96, 3,360.74 and 680.90

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Solution

The fourth proportional to 2,240.96, 3,360.74 and 680.90 is: 1,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.96 : 3,360.74 = 680.90 : x
  2. Step 2: Convert to fraction form
    2,240.96/3,360.74 = 680.90/x
  3. Step 3: Cross multiply
    2,240.96x = 3,360.74 × 680.90
  4. Step 4: Simplify right side
    2,240.96x = 2,288,307.66
  5. Step 5: Solve for x
    x = 2,288,307.66/2,240.96
  6. Step 6: Final answer
    x = 1,021.13

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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.