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Finding the Fourth Proportional to 1,919.74, 2,650.78 and 1,247.88

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Solution

The fourth proportional to 1,919.74, 2,650.78 and 1,247.88 is: 1,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.74 : 2,650.78 = 1,247.88 : x
  2. Step 2: Convert to fraction form
    1,919.74/2,650.78 = 1,247.88/x
  3. Step 3: Cross multiply
    1,919.74x = 2,650.78 × 1,247.88
  4. Step 4: Simplify right side
    1,919.74x = 3,307,848.72
  5. Step 5: Solve for x
    x = 3,307,848.72/1,919.74
  6. Step 6: Final answer
    x = 1,723.07

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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.