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Finding the Fourth Proportional to 2,697.40, 4,046.78 and 2,144.20

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Solution

The fourth proportional to 2,697.40, 4,046.78 and 2,144.20 is: 3,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.40 : 4,046.78 = 2,144.20 : x
  2. Step 2: Convert to fraction form
    2,697.40/4,046.78 = 2,144.20/x
  3. Step 3: Cross multiply
    2,697.40x = 4,046.78 × 2,144.20
  4. Step 4: Simplify right side
    2,697.40x = 8,677,094.96
  5. Step 5: Solve for x
    x = 8,677,094.96/2,697.40
  6. Step 6: Final answer
    x = 3,216.84

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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.