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Finding the Fourth Proportional to 1,530.28, 2,112.14 and 867.55

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Solution

The fourth proportional to 1,530.28, 2,112.14 and 867.55 is: 1,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.28 : 2,112.14 = 867.55 : x
  2. Step 2: Convert to fraction form
    1,530.28/2,112.14 = 867.55/x
  3. Step 3: Cross multiply
    1,530.28x = 2,112.14 × 867.55
  4. Step 4: Simplify right side
    1,530.28x = 1,832,387.06
  5. Step 5: Solve for x
    x = 1,832,387.06/1,530.28
  6. Step 6: Final answer
    x = 1,197.42

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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.