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Finding the Fourth Proportional to 2,237.76, 3,353.40 and 940.14

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Solution

The fourth proportional to 2,237.76, 3,353.40 and 940.14 is: 1,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.76 : 3,353.40 = 940.14 : x
  2. Step 2: Convert to fraction form
    2,237.76/3,353.40 = 940.14/x
  3. Step 3: Cross multiply
    2,237.76x = 3,353.40 × 940.14
  4. Step 4: Simplify right side
    2,237.76x = 3,152,665.48
  5. Step 5: Solve for x
    x = 3,152,665.48/2,237.76
  6. Step 6: Final answer
    x = 1,408.85

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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.