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Finding the Fourth Proportional to 3,063.42, 4,594.31 and 872.25

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Solution

The fourth proportional to 3,063.42, 4,594.31 and 872.25 is: 1,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.42 : 4,594.31 = 872.25 : x
  2. Step 2: Convert to fraction form
    3,063.42/4,594.31 = 872.25/x
  3. Step 3: Cross multiply
    3,063.42x = 4,594.31 × 872.25
  4. Step 4: Simplify right side
    3,063.42x = 4,007,382.54
  5. Step 5: Solve for x
    x = 4,007,382.54/3,063.42
  6. Step 6: Final answer
    x = 1,308.14

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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.