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Finding the Fourth Proportional to 3,074.80, 4,606.80 and 2,642.80

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Solution

The fourth proportional to 3,074.80, 4,606.80 and 2,642.80 is: 3,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.80 : 4,606.80 = 2,642.80 : x
  2. Step 2: Convert to fraction form
    3,074.80/4,606.80 = 2,642.80/x
  3. Step 3: Cross multiply
    3,074.80x = 4,606.80 × 2,642.80
  4. Step 4: Simplify right side
    3,074.80x = 12,174,851.04
  5. Step 5: Solve for x
    x = 12,174,851.04/3,074.80
  6. Step 6: Final answer
    x = 3,959.56

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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.