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Finding the Fourth Proportional to 2,237.67, 3,088.26 and 1,353.78

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Solution

The fourth proportional to 2,237.67, 3,088.26 and 1,353.78 is: 1,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.67 : 3,088.26 = 1,353.78 : x
  2. Step 2: Convert to fraction form
    2,237.67/3,088.26 = 1,353.78/x
  3. Step 3: Cross multiply
    2,237.67x = 3,088.26 × 1,353.78
  4. Step 4: Simplify right side
    2,237.67x = 4,180,824.62
  5. Step 5: Solve for x
    x = 4,180,824.62/2,237.67
  6. Step 6: Final answer
    x = 1,868.38

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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.