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Finding the Fourth Proportional to 3,144.12, 4,338.90 and 1,746.90

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Solution

The fourth proportional to 3,144.12, 4,338.90 and 1,746.90 is: 2,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.12 : 4,338.90 = 1,746.90 : x
  2. Step 2: Convert to fraction form
    3,144.12/4,338.90 = 1,746.90/x
  3. Step 3: Cross multiply
    3,144.12x = 4,338.90 × 1,746.90
  4. Step 4: Simplify right side
    3,144.12x = 7,579,624.41
  5. Step 5: Solve for x
    x = 7,579,624.41/3,144.12
  6. Step 6: Final answer
    x = 2,410.73

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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.