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Finding the Fourth Proportional to 2,023.48, 3,014.87 and 1,891

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Solution

The fourth proportional to 2,023.48, 3,014.87 and 1,891 is: 2,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.48 : 3,014.87 = 1,891 : x
  2. Step 2: Convert to fraction form
    2,023.48/3,014.87 = 1,891/x
  3. Step 3: Cross multiply
    2,023.48x = 3,014.87 × 1,891
  4. Step 4: Simplify right side
    2,023.48x = 5,701,119.17
  5. Step 5: Solve for x
    x = 5,701,119.17/2,023.48
  6. Step 6: Final answer
    x = 2,817.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.