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Finding the Fourth Proportional to 2,798.58, 4,197.87 and 1,257.78

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Solution

The fourth proportional to 2,798.58, 4,197.87 and 1,257.78 is: 1,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.58 : 4,197.87 = 1,257.78 : x
  2. Step 2: Convert to fraction form
    2,798.58/4,197.87 = 1,257.78/x
  3. Step 3: Cross multiply
    2,798.58x = 4,197.87 × 1,257.78
  4. Step 4: Simplify right side
    2,798.58x = 5,279,996.93
  5. Step 5: Solve for x
    x = 5,279,996.93/2,798.58
  6. Step 6: Final answer
    x = 1,886.67

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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.