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Finding the Fourth Proportional to 2,263.42, 3,123.76 and 1,731.54

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Solution

The fourth proportional to 2,263.42, 3,123.76 and 1,731.54 is: 2,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.42 : 3,123.76 = 1,731.54 : x
  2. Step 2: Convert to fraction form
    2,263.42/3,123.76 = 1,731.54/x
  3. Step 3: Cross multiply
    2,263.42x = 3,123.76 × 1,731.54
  4. Step 4: Simplify right side
    2,263.42x = 5,408,915.39
  5. Step 5: Solve for x
    x = 5,408,915.39/2,263.42
  6. Step 6: Final answer
    x = 2,389.71

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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.