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Finding the Fourth Proportional to 2,924.80, 4,385.92 and 872.32

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Solution

The fourth proportional to 2,924.80, 4,385.92 and 872.32 is: 1,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.80 : 4,385.92 = 872.32 : x
  2. Step 2: Convert to fraction form
    2,924.80/4,385.92 = 872.32/x
  3. Step 3: Cross multiply
    2,924.80x = 4,385.92 × 872.32
  4. Step 4: Simplify right side
    2,924.80x = 3,825,925.73
  5. Step 5: Solve for x
    x = 3,825,925.73/2,924.80
  6. Step 6: Final answer
    x = 1,308.10

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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.