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Finding the Fourth Proportional to 2,267.81, 3,408.13 and 1,343.53

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Solution

The fourth proportional to 2,267.81, 3,408.13 and 1,343.53 is: 2,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.81 : 3,408.13 = 1,343.53 : x
  2. Step 2: Convert to fraction form
    2,267.81/3,408.13 = 1,343.53/x
  3. Step 3: Cross multiply
    2,267.81x = 3,408.13 × 1,343.53
  4. Step 4: Simplify right side
    2,267.81x = 4,578,924.90
  5. Step 5: Solve for x
    x = 4,578,924.90/2,267.81
  6. Step 6: Final answer
    x = 2,019.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.