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Finding the Fourth Proportional to 2,182.96, 3,272.36 and 795.20

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Solution

The fourth proportional to 2,182.96, 3,272.36 and 795.20 is: 1,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.96 : 3,272.36 = 795.20 : x
  2. Step 2: Convert to fraction form
    2,182.96/3,272.36 = 795.20/x
  3. Step 3: Cross multiply
    2,182.96x = 3,272.36 × 795.20
  4. Step 4: Simplify right side
    2,182.96x = 2,602,180.67
  5. Step 5: Solve for x
    x = 2,602,180.67/2,182.96
  6. Step 6: Final answer
    x = 1,192.04

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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.