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Finding the Fourth Proportional to 2,531.79, 3,797.73 and 800.46

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Solution

The fourth proportional to 2,531.79, 3,797.73 and 800.46 is: 1,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.79 : 3,797.73 = 800.46 : x
  2. Step 2: Convert to fraction form
    2,531.79/3,797.73 = 800.46/x
  3. Step 3: Cross multiply
    2,531.79x = 3,797.73 × 800.46
  4. Step 4: Simplify right side
    2,531.79x = 3,039,930.96
  5. Step 5: Solve for x
    x = 3,039,930.96/2,531.79
  6. Step 6: Final answer
    x = 1,200.70

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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.