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Finding the Fourth Proportional to 2,480.14, 3,719.12 and 940.06

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Solution

The fourth proportional to 2,480.14, 3,719.12 and 940.06 is: 1,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.14 : 3,719.12 = 940.06 : x
  2. Step 2: Convert to fraction form
    2,480.14/3,719.12 = 940.06/x
  3. Step 3: Cross multiply
    2,480.14x = 3,719.12 × 940.06
  4. Step 4: Simplify right side
    2,480.14x = 3,496,189.00
  5. Step 5: Solve for x
    x = 3,496,189.00/2,480.14
  6. Step 6: Final answer
    x = 1,409.68

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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.