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Finding the Fourth Proportional to 2,026.46, 3,038.22 and 792.80

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Solution

The fourth proportional to 2,026.46, 3,038.22 and 792.80 is: 1,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.46 : 3,038.22 = 792.80 : x
  2. Step 2: Convert to fraction form
    2,026.46/3,038.22 = 792.80/x
  3. Step 3: Cross multiply
    2,026.46x = 3,038.22 × 792.80
  4. Step 4: Simplify right side
    2,026.46x = 2,408,700.82
  5. Step 5: Solve for x
    x = 2,408,700.82/2,026.46
  6. Step 6: Final answer
    x = 1,188.62

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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.