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Finding the Fourth Proportional to 2,785.20, 4,177.20 and 1,225.20

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Solution

The fourth proportional to 2,785.20, 4,177.20 and 1,225.20 is: 1,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.20 : 4,177.20 = 1,225.20 : x
  2. Step 2: Convert to fraction form
    2,785.20/4,177.20 = 1,225.20/x
  3. Step 3: Cross multiply
    2,785.20x = 4,177.20 × 1,225.20
  4. Step 4: Simplify right side
    2,785.20x = 5,117,905.44
  5. Step 5: Solve for x
    x = 5,117,905.44/2,785.20
  6. Step 6: Final answer
    x = 1,837.54

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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.