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Finding the Fourth Proportional to 2,078.86, 3,119.12 and 846.36

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Solution

The fourth proportional to 2,078.86, 3,119.12 and 846.36 is: 1,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.86 : 3,119.12 = 846.36 : x
  2. Step 2: Convert to fraction form
    2,078.86/3,119.12 = 846.36/x
  3. Step 3: Cross multiply
    2,078.86x = 3,119.12 × 846.36
  4. Step 4: Simplify right side
    2,078.86x = 2,639,898.40
  5. Step 5: Solve for x
    x = 2,639,898.40/2,078.86
  6. Step 6: Final answer
    x = 1,269.88

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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.