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Finding the Fourth Proportional to 2,026.20, 3,040.16 and 856.48

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Solution

The fourth proportional to 2,026.20, 3,040.16 and 856.48 is: 1,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.20 : 3,040.16 = 856.48 : x
  2. Step 2: Convert to fraction form
    2,026.20/3,040.16 = 856.48/x
  3. Step 3: Cross multiply
    2,026.20x = 3,040.16 × 856.48
  4. Step 4: Simplify right side
    2,026.20x = 2,603,836.24
  5. Step 5: Solve for x
    x = 2,603,836.24/2,026.20
  6. Step 6: Final answer
    x = 1,285.08

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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.