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Finding the Fourth Proportional to 3,026.68, 4,176.68 and 1,767.80

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Solution

The fourth proportional to 3,026.68, 4,176.68 and 1,767.80 is: 2,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.68 : 4,176.68 = 1,767.80 : x
  2. Step 2: Convert to fraction form
    3,026.68/4,176.68 = 1,767.80/x
  3. Step 3: Cross multiply
    3,026.68x = 4,176.68 × 1,767.80
  4. Step 4: Simplify right side
    3,026.68x = 7,383,534.90
  5. Step 5: Solve for x
    x = 7,383,534.90/3,026.68
  6. Step 6: Final answer
    x = 2,439.48

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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.