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Finding the Fourth Proportional to 2,828.32, 4,241.32 and 979.12

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Solution

The fourth proportional to 2,828.32, 4,241.32 and 979.12 is: 1,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.32 : 4,241.32 = 979.12 : x
  2. Step 2: Convert to fraction form
    2,828.32/4,241.32 = 979.12/x
  3. Step 3: Cross multiply
    2,828.32x = 4,241.32 × 979.12
  4. Step 4: Simplify right side
    2,828.32x = 4,152,761.24
  5. Step 5: Solve for x
    x = 4,152,761.24/2,828.32
  6. Step 6: Final answer
    x = 1,468.28

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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.