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Finding the Fourth Proportional to 3,219.32, 4,829.25 and 910.82

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Solution

The fourth proportional to 3,219.32, 4,829.25 and 910.82 is: 1,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.32 : 4,829.25 = 910.82 : x
  2. Step 2: Convert to fraction form
    3,219.32/4,829.25 = 910.82/x
  3. Step 3: Cross multiply
    3,219.32x = 4,829.25 × 910.82
  4. Step 4: Simplify right side
    3,219.32x = 4,398,553.34
  5. Step 5: Solve for x
    x = 4,398,553.34/3,219.32
  6. Step 6: Final answer
    x = 1,366.30

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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.