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Finding the Fourth Proportional to 2,078.72, 3,097.82 and 2,018.75

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Solution

The fourth proportional to 2,078.72, 3,097.82 and 2,018.75 is: 3,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.72 : 3,097.82 = 2,018.75 : x
  2. Step 2: Convert to fraction form
    2,078.72/3,097.82 = 2,018.75/x
  3. Step 3: Cross multiply
    2,078.72x = 3,097.82 × 2,018.75
  4. Step 4: Simplify right side
    2,078.72x = 6,253,724.13
  5. Step 5: Solve for x
    x = 6,253,724.13/2,078.72
  6. Step 6: Final answer
    x = 3,008.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.