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Finding the Fourth Proportional to 2,852.52, 3,947.26 and 2,432.20

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Solution

The fourth proportional to 2,852.52, 3,947.26 and 2,432.20 is: 3,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.52 : 3,947.26 = 2,432.20 : x
  2. Step 2: Convert to fraction form
    2,852.52/3,947.26 = 2,432.20/x
  3. Step 3: Cross multiply
    2,852.52x = 3,947.26 × 2,432.20
  4. Step 4: Simplify right side
    2,852.52x = 9,600,525.77
  5. Step 5: Solve for x
    x = 9,600,525.77/2,852.52
  6. Step 6: Final answer
    x = 3,365.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.