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Finding the Fourth Proportional to 2,777.28, 3,827.52 and 2,068.80

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Solution

The fourth proportional to 2,777.28, 3,827.52 and 2,068.80 is: 2,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.28 : 3,827.52 = 2,068.80 : x
  2. Step 2: Convert to fraction form
    2,777.28/3,827.52 = 2,068.80/x
  3. Step 3: Cross multiply
    2,777.28x = 3,827.52 × 2,068.80
  4. Step 4: Simplify right side
    2,777.28x = 7,918,373.38
  5. Step 5: Solve for x
    x = 7,918,373.38/2,777.28
  6. Step 6: Final answer
    x = 2,851.13

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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.