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Finding the Fourth Proportional to 2,034.32, 2,807.34 and 1,194.80

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Solution

The fourth proportional to 2,034.32, 2,807.34 and 1,194.80 is: 1,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.32 : 2,807.34 = 1,194.80 : x
  2. Step 2: Convert to fraction form
    2,034.32/2,807.34 = 1,194.80/x
  3. Step 3: Cross multiply
    2,034.32x = 2,807.34 × 1,194.80
  4. Step 4: Simplify right side
    2,034.32x = 3,354,209.83
  5. Step 5: Solve for x
    x = 3,354,209.83/2,034.32
  6. Step 6: Final answer
    x = 1,648.81

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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.