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Finding the Fourth Proportional to 2,112.30, 3,167.55 and 1,017

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Solution

The fourth proportional to 2,112.30, 3,167.55 and 1,017 is: 1,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.30 : 3,167.55 = 1,017 : x
  2. Step 2: Convert to fraction form
    2,112.30/3,167.55 = 1,017/x
  3. Step 3: Cross multiply
    2,112.30x = 3,167.55 × 1,017
  4. Step 4: Simplify right side
    2,112.30x = 3,221,398.35
  5. Step 5: Solve for x
    x = 3,221,398.35/2,112.30
  6. Step 6: Final answer
    x = 1,525.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.