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Finding the Fourth Proportional to 2,113.28, 3,167.28 and 1,017.35

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Solution

The fourth proportional to 2,113.28, 3,167.28 and 1,017.35 is: 1,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.28 : 3,167.28 = 1,017.35 : x
  2. Step 2: Convert to fraction form
    2,113.28/3,167.28 = 1,017.35/x
  3. Step 3: Cross multiply
    2,113.28x = 3,167.28 × 1,017.35
  4. Step 4: Simplify right side
    2,113.28x = 3,222,232.31
  5. Step 5: Solve for x
    x = 3,222,232.31/2,113.28
  6. Step 6: Final answer
    x = 1,524.75

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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.