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Finding the Fourth Proportional to 2,073.88, 2,874.27 and 2,035

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Solution

The fourth proportional to 2,073.88, 2,874.27 and 2,035 is: 2,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.88 : 2,874.27 = 2,035 : x
  2. Step 2: Convert to fraction form
    2,073.88/2,874.27 = 2,035/x
  3. Step 3: Cross multiply
    2,073.88x = 2,874.27 × 2,035
  4. Step 4: Simplify right side
    2,073.88x = 5,849,139.45
  5. Step 5: Solve for x
    x = 5,849,139.45/2,073.88
  6. Step 6: Final answer
    x = 2,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.