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Finding the Fourth Proportional to 2,778, 3,833.76 and 1,536

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Solution

The fourth proportional to 2,778, 3,833.76 and 1,536 is: 2,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778 : 3,833.76 = 1,536 : x
  2. Step 2: Convert to fraction form
    2,778/3,833.76 = 1,536/x
  3. Step 3: Cross multiply
    2,778x = 3,833.76 × 1,536
  4. Step 4: Simplify right side
    2,778x = 5,888,655.36
  5. Step 5: Solve for x
    x = 5,888,655.36/2,778
  6. Step 6: Final answer
    x = 2,119.75

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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.