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Finding the Fourth Proportional to 2,337.98, 3,226.32 and 1,343.42

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Solution

The fourth proportional to 2,337.98, 3,226.32 and 1,343.42 is: 1,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.98 : 3,226.32 = 1,343.42 : x
  2. Step 2: Convert to fraction form
    2,337.98/3,226.32 = 1,343.42/x
  3. Step 3: Cross multiply
    2,337.98x = 3,226.32 × 1,343.42
  4. Step 4: Simplify right side
    2,337.98x = 4,334,302.81
  5. Step 5: Solve for x
    x = 4,334,302.81/2,337.98
  6. Step 6: Final answer
    x = 1,853.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.