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Finding the Fourth Proportional to 3,089.78, 4,260.16 and 2,146.37

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Solution

The fourth proportional to 3,089.78, 4,260.16 and 2,146.37 is: 2,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.78 : 4,260.16 = 2,146.37 : x
  2. Step 2: Convert to fraction form
    3,089.78/4,260.16 = 2,146.37/x
  3. Step 3: Cross multiply
    3,089.78x = 4,260.16 × 2,146.37
  4. Step 4: Simplify right side
    3,089.78x = 9,143,879.62
  5. Step 5: Solve for x
    x = 9,143,879.62/3,089.78
  6. Step 6: Final answer
    x = 2,959.40

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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.