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Finding the Fourth Proportional to 2,971.52, 4,101.84 and 2,026.88

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Solution

The fourth proportional to 2,971.52, 4,101.84 and 2,026.88 is: 2,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.52 : 4,101.84 = 2,026.88 : x
  2. Step 2: Convert to fraction form
    2,971.52/4,101.84 = 2,026.88/x
  3. Step 3: Cross multiply
    2,971.52x = 4,101.84 × 2,026.88
  4. Step 4: Simplify right side
    2,971.52x = 8,313,937.46
  5. Step 5: Solve for x
    x = 8,313,937.46/2,971.52
  6. Step 6: Final answer
    x = 2,797.87

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