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Finding the Fourth Proportional to 2,034.02, 2,806.52 and 1,194.86

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Solution

The fourth proportional to 2,034.02, 2,806.52 and 1,194.86 is: 1,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.02 : 2,806.52 = 1,194.86 : x
  2. Step 2: Convert to fraction form
    2,034.02/2,806.52 = 1,194.86/x
  3. Step 3: Cross multiply
    2,034.02x = 2,806.52 × 1,194.86
  4. Step 4: Simplify right side
    2,034.02x = 3,353,398.49
  5. Step 5: Solve for x
    x = 3,353,398.49/2,034.02
  6. Step 6: Final answer
    x = 1,648.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.