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Finding the Fourth Proportional to 2,026.44, 3,040.40 and 856.74

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Solution

The fourth proportional to 2,026.44, 3,040.40 and 856.74 is: 1,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.44 : 3,040.40 = 856.74 : x
  2. Step 2: Convert to fraction form
    2,026.44/3,040.40 = 856.74/x
  3. Step 3: Cross multiply
    2,026.44x = 3,040.40 × 856.74
  4. Step 4: Simplify right side
    2,026.44x = 2,604,832.30
  5. Step 5: Solve for x
    x = 2,604,832.30/2,026.44
  6. Step 6: Final answer
    x = 1,285.42

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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.