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Finding the Fourth Proportional to 2,002.33, 2,763.58 and 1,194.84

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Solution

The fourth proportional to 2,002.33, 2,763.58 and 1,194.84 is: 1,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.33 : 2,763.58 = 1,194.84 : x
  2. Step 2: Convert to fraction form
    2,002.33/2,763.58 = 1,194.84/x
  3. Step 3: Cross multiply
    2,002.33x = 2,763.58 × 1,194.84
  4. Step 4: Simplify right side
    2,002.33x = 3,302,035.93
  5. Step 5: Solve for x
    x = 3,302,035.93/2,002.33
  6. Step 6: Final answer
    x = 1,649.10

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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.