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Finding the Fourth Proportional to 2,078.08, 3,118.42 and 845.49

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Solution

The fourth proportional to 2,078.08, 3,118.42 and 845.49 is: 1,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.08 : 3,118.42 = 845.49 : x
  2. Step 2: Convert to fraction form
    2,078.08/3,118.42 = 845.49/x
  3. Step 3: Cross multiply
    2,078.08x = 3,118.42 × 845.49
  4. Step 4: Simplify right side
    2,078.08x = 2,636,592.93
  5. Step 5: Solve for x
    x = 2,636,592.93/2,078.08
  6. Step 6: Final answer
    x = 1,268.76

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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.