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Finding the Fourth Proportional to 3,001.67, 4,141.67 and 1,742.57

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Solution

The fourth proportional to 3,001.67, 4,141.67 and 1,742.57 is: 2,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.67 : 4,141.67 = 1,742.57 : x
  2. Step 2: Convert to fraction form
    3,001.67/4,141.67 = 1,742.57/x
  3. Step 3: Cross multiply
    3,001.67x = 4,141.67 × 1,742.57
  4. Step 4: Simplify right side
    3,001.67x = 7,217,120.47
  5. Step 5: Solve for x
    x = 7,217,120.47/3,001.67
  6. Step 6: Final answer
    x = 2,404.37

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1.5x scale

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.