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Finding the Fourth Proportional to 2,154.81, 2,988.75 and 2,067.33

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Solution

The fourth proportional to 2,154.81, 2,988.75 and 2,067.33 is: 2,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.81 : 2,988.75 = 2,067.33 : x
  2. Step 2: Convert to fraction form
    2,154.81/2,988.75 = 2,067.33/x
  3. Step 3: Cross multiply
    2,154.81x = 2,988.75 × 2,067.33
  4. Step 4: Simplify right side
    2,154.81x = 6,178,707.26
  5. Step 5: Solve for x
    x = 6,178,707.26/2,154.81
  6. Step 6: Final answer
    x = 2,867.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.