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Finding the Fourth Proportional to 2,026.45, 3,040.08 and 856.46

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Solution

The fourth proportional to 2,026.45, 3,040.08 and 856.46 is: 1,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.45 : 3,040.08 = 856.46 : x
  2. Step 2: Convert to fraction form
    2,026.45/3,040.08 = 856.46/x
  3. Step 3: Cross multiply
    2,026.45x = 3,040.08 × 856.46
  4. Step 4: Simplify right side
    2,026.45x = 2,603,699.02
  5. Step 5: Solve for x
    x = 2,603,699.02/2,026.45
  6. Step 6: Final answer
    x = 1,284.86

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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.