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Finding the Fourth Proportional to 3,076.52, 4,242.23 and 2,080.07

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Solution

The fourth proportional to 3,076.52, 4,242.23 and 2,080.07 is: 2,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.52 : 4,242.23 = 2,080.07 : x
  2. Step 2: Convert to fraction form
    3,076.52/4,242.23 = 2,080.07/x
  3. Step 3: Cross multiply
    3,076.52x = 4,242.23 × 2,080.07
  4. Step 4: Simplify right side
    3,076.52x = 8,824,114.14
  5. Step 5: Solve for x
    x = 8,824,114.14/3,076.52
  6. Step 6: Final answer
    x = 2,868.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.