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Finding the Fourth Proportional to 2,761.72, 3,809.87 and 1,582.12

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Solution

The fourth proportional to 2,761.72, 3,809.87 and 1,582.12 is: 2,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.72 : 3,809.87 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    2,761.72/3,809.87 = 1,582.12/x
  3. Step 3: Cross multiply
    2,761.72x = 3,809.87 × 1,582.12
  4. Step 4: Simplify right side
    2,761.72x = 6,027,663.61
  5. Step 5: Solve for x
    x = 6,027,663.61/2,761.72
  6. Step 6: Final answer
    x = 2,182.58

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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.