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Finding the Fourth Proportional to 3,298.78, 4,552.20 and 1,971.70

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Solution

The fourth proportional to 3,298.78, 4,552.20 and 1,971.70 is: 2,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.78 : 4,552.20 = 1,971.70 : x
  2. Step 2: Convert to fraction form
    3,298.78/4,552.20 = 1,971.70/x
  3. Step 3: Cross multiply
    3,298.78x = 4,552.20 × 1,971.70
  4. Step 4: Simplify right side
    3,298.78x = 8,975,572.74
  5. Step 5: Solve for x
    x = 8,975,572.74/3,298.78
  6. Step 6: Final answer
    x = 2,720.88

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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.