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Finding the Fourth Proportional to 2,041.97, 2,820.49 and 1,775.88

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Solution

The fourth proportional to 2,041.97, 2,820.49 and 1,775.88 is: 2,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.97 : 2,820.49 = 1,775.88 : x
  2. Step 2: Convert to fraction form
    2,041.97/2,820.49 = 1,775.88/x
  3. Step 3: Cross multiply
    2,041.97x = 2,820.49 × 1,775.88
  4. Step 4: Simplify right side
    2,041.97x = 5,008,847.34
  5. Step 5: Solve for x
    x = 5,008,847.34/2,041.97
  6. Step 6: Final answer
    x = 2,452.95

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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.