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Finding the Fourth Proportional to 3,122.93, 4,309.53 and 2,074.25

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Solution

The fourth proportional to 3,122.93, 4,309.53 and 2,074.25 is: 2,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.93 : 4,309.53 = 2,074.25 : x
  2. Step 2: Convert to fraction form
    3,122.93/4,309.53 = 2,074.25/x
  3. Step 3: Cross multiply
    3,122.93x = 4,309.53 × 2,074.25
  4. Step 4: Simplify right side
    3,122.93x = 8,939,042.60
  5. Step 5: Solve for x
    x = 8,939,042.60/3,122.93
  6. Step 6: Final answer
    x = 2,862.39

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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.