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Finding the Fourth Proportional to 2,777.76, 3,833.28 and 1,599

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Solution

The fourth proportional to 2,777.76, 3,833.28 and 1,599 is: 2,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.76 : 3,833.28 = 1,599 : x
  2. Step 2: Convert to fraction form
    2,777.76/3,833.28 = 1,599/x
  3. Step 3: Cross multiply
    2,777.76x = 3,833.28 × 1,599
  4. Step 4: Simplify right side
    2,777.76x = 6,129,414.72
  5. Step 5: Solve for x
    x = 6,129,414.72/2,777.76
  6. Step 6: Final answer
    x = 2,206.60

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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.