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Finding the Fourth Proportional to 1,921.16, 2,879.90 and 824.44

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Solution

The fourth proportional to 1,921.16, 2,879.90 and 824.44 is: 1,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.16 : 2,879.90 = 824.44 : x
  2. Step 2: Convert to fraction form
    1,921.16/2,879.90 = 824.44/x
  3. Step 3: Cross multiply
    1,921.16x = 2,879.90 × 824.44
  4. Step 4: Simplify right side
    1,921.16x = 2,374,304.76
  5. Step 5: Solve for x
    x = 2,374,304.76/1,921.16
  6. Step 6: Final answer
    x = 1,235.87

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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.