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Finding the Fourth Proportional to 3,202.56, 4,417.92 and 1,944

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Solution

The fourth proportional to 3,202.56, 4,417.92 and 1,944 is: 2,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.56 : 4,417.92 = 1,944 : x
  2. Step 2: Convert to fraction form
    3,202.56/4,417.92 = 1,944/x
  3. Step 3: Cross multiply
    3,202.56x = 4,417.92 × 1,944
  4. Step 4: Simplify right side
    3,202.56x = 8,588,436.48
  5. Step 5: Solve for x
    x = 8,588,436.48/3,202.56
  6. Step 6: Final answer
    x = 2,681.74

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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.