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Finding the Fourth Proportional to 3,253.66, 4,489 and 1,993.40

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Solution

The fourth proportional to 3,253.66, 4,489 and 1,993.40 is: 2,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.66 : 4,489 = 1,993.40 : x
  2. Step 2: Convert to fraction form
    3,253.66/4,489 = 1,993.40/x
  3. Step 3: Cross multiply
    3,253.66x = 4,489 × 1,993.40
  4. Step 4: Simplify right side
    3,253.66x = 8,948,372.60
  5. Step 5: Solve for x
    x = 8,948,372.60/3,253.66
  6. Step 6: Final answer
    x = 2,750.25

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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.