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Finding the Fourth Proportional to 2,280.68, 3,420.66 and 677.42

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Solution

The fourth proportional to 2,280.68, 3,420.66 and 677.42 is: 1,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.68 : 3,420.66 = 677.42 : x
  2. Step 2: Convert to fraction form
    2,280.68/3,420.66 = 677.42/x
  3. Step 3: Cross multiply
    2,280.68x = 3,420.66 × 677.42
  4. Step 4: Simplify right side
    2,280.68x = 2,317,223.50
  5. Step 5: Solve for x
    x = 2,317,223.50/2,280.68
  6. Step 6: Final answer
    x = 1,016.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.