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Finding the Fourth Proportional to 2,231.78, 3,080.03 and 1,237.16

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Solution

The fourth proportional to 2,231.78, 3,080.03 and 1,237.16 is: 1,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.78 : 3,080.03 = 1,237.16 : x
  2. Step 2: Convert to fraction form
    2,231.78/3,080.03 = 1,237.16/x
  3. Step 3: Cross multiply
    2,231.78x = 3,080.03 × 1,237.16
  4. Step 4: Simplify right side
    2,231.78x = 3,810,477.61
  5. Step 5: Solve for x
    x = 3,810,477.61/2,231.78
  6. Step 6: Final answer
    x = 1,707.37

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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.