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Finding the Fourth Proportional to 2,790.78, 4,182.24 and 2,203.20

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Solution

The fourth proportional to 2,790.78, 4,182.24 and 2,203.20 is: 3,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.78 : 4,182.24 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    2,790.78/4,182.24 = 2,203.20/x
  3. Step 3: Cross multiply
    2,790.78x = 4,182.24 × 2,203.20
  4. Step 4: Simplify right side
    2,790.78x = 9,214,311.17
  5. Step 5: Solve for x
    x = 9,214,311.17/2,790.78
  6. Step 6: Final answer
    x = 3,301.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.