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Finding the Fourth Proportional to 2,283.92, 3,429.12 and 2,179.52

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Solution

The fourth proportional to 2,283.92, 3,429.12 and 2,179.52 is: 3,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.92 : 3,429.12 = 2,179.52 : x
  2. Step 2: Convert to fraction form
    2,283.92/3,429.12 = 2,179.52/x
  3. Step 3: Cross multiply
    2,283.92x = 3,429.12 × 2,179.52
  4. Step 4: Simplify right side
    2,283.92x = 7,473,835.62
  5. Step 5: Solve for x
    x = 7,473,835.62/2,283.92
  6. Step 6: Final answer
    x = 3,272.37

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1.5x scale

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.