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Finding the Fourth Proportional to 2,237.14, 3,355.71 and 940.06

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Solution

The fourth proportional to 2,237.14, 3,355.71 and 940.06 is: 1,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.14 : 3,355.71 = 940.06 : x
  2. Step 2: Convert to fraction form
    2,237.14/3,355.71 = 940.06/x
  3. Step 3: Cross multiply
    2,237.14x = 3,355.71 × 940.06
  4. Step 4: Simplify right side
    2,237.14x = 3,154,568.74
  5. Step 5: Solve for x
    x = 3,154,568.74/2,237.14
  6. Step 6: Final answer
    x = 1,410.09

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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.