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Finding the Fourth Proportional to 2,265.68, 3,400.32 and 967.52

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Solution

The fourth proportional to 2,265.68, 3,400.32 and 967.52 is: 1,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.68 : 3,400.32 = 967.52 : x
  2. Step 2: Convert to fraction form
    2,265.68/3,400.32 = 967.52/x
  3. Step 3: Cross multiply
    2,265.68x = 3,400.32 × 967.52
  4. Step 4: Simplify right side
    2,265.68x = 3,289,877.61
  5. Step 5: Solve for x
    x = 3,289,877.61/2,265.68
  6. Step 6: Final answer
    x = 1,452.05

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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.