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Finding the Fourth Proportional to 2,803.20, 3,866.96 and 2,177.84

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Solution

The fourth proportional to 2,803.20, 3,866.96 and 2,177.84 is: 3,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.20 : 3,866.96 = 2,177.84 : x
  2. Step 2: Convert to fraction form
    2,803.20/3,866.96 = 2,177.84/x
  3. Step 3: Cross multiply
    2,803.20x = 3,866.96 × 2,177.84
  4. Step 4: Simplify right side
    2,803.20x = 8,421,620.17
  5. Step 5: Solve for x
    x = 8,421,620.17/2,803.20
  6. Step 6: Final answer
    x = 3,004.29

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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.