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Finding the Fourth Proportional to 2,751.16, 3,797.04 and 2,122.60

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Solution

The fourth proportional to 2,751.16, 3,797.04 and 2,122.60 is: 2,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.16 : 3,797.04 = 2,122.60 : x
  2. Step 2: Convert to fraction form
    2,751.16/3,797.04 = 2,122.60/x
  3. Step 3: Cross multiply
    2,751.16x = 3,797.04 × 2,122.60
  4. Step 4: Simplify right side
    2,751.16x = 8,059,597.10
  5. Step 5: Solve for x
    x = 8,059,597.10/2,751.16
  6. Step 6: Final answer
    x = 2,929.53

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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.