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Finding the Fourth Proportional to 1,926.78, 2,867.13 and 1,920.30

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Solution

The fourth proportional to 1,926.78, 2,867.13 and 1,920.30 is: 2,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.78 : 2,867.13 = 1,920.30 : x
  2. Step 2: Convert to fraction form
    1,926.78/2,867.13 = 1,920.30/x
  3. Step 3: Cross multiply
    1,926.78x = 2,867.13 × 1,920.30
  4. Step 4: Simplify right side
    1,926.78x = 5,505,749.74
  5. Step 5: Solve for x
    x = 5,505,749.74/1,926.78
  6. Step 6: Final answer
    x = 2,857.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.