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Finding the Fourth Proportional to 2,579.55, 3,869.75 and 800.19

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Solution

The fourth proportional to 2,579.55, 3,869.75 and 800.19 is: 1,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.55 : 3,869.75 = 800.19 : x
  2. Step 2: Convert to fraction form
    2,579.55/3,869.75 = 800.19/x
  3. Step 3: Cross multiply
    2,579.55x = 3,869.75 × 800.19
  4. Step 4: Simplify right side
    2,579.55x = 3,096,531.25
  5. Step 5: Solve for x
    x = 3,096,531.25/2,579.55
  6. Step 6: Final answer
    x = 1,200.42

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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.