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Finding the Fourth Proportional to 2,876.56, 4,314.84 and 824.56

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Solution

The fourth proportional to 2,876.56, 4,314.84 and 824.56 is: 1,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.56 : 4,314.84 = 824.56 : x
  2. Step 2: Convert to fraction form
    2,876.56/4,314.84 = 824.56/x
  3. Step 3: Cross multiply
    2,876.56x = 4,314.84 × 824.56
  4. Step 4: Simplify right side
    2,876.56x = 3,557,844.47
  5. Step 5: Solve for x
    x = 3,557,844.47/2,876.56
  6. Step 6: Final answer
    x = 1,236.84

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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.