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Finding the Fourth Proportional to 2,112.74, 3,167 and 1,000.17

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Solution

The fourth proportional to 2,112.74, 3,167 and 1,000.17 is: 1,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.74 : 3,167 = 1,000.17 : x
  2. Step 2: Convert to fraction form
    2,112.74/3,167 = 1,000.17/x
  3. Step 3: Cross multiply
    2,112.74x = 3,167 × 1,000.17
  4. Step 4: Simplify right side
    2,112.74x = 3,167,538.39
  5. Step 5: Solve for x
    x = 3,167,538.39/2,112.74
  6. Step 6: Final answer
    x = 1,499.26

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1.5x scale

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.