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Finding the Fourth Proportional to 3,033.76, 4,186.20 and 2,089.84

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Solution

The fourth proportional to 3,033.76, 4,186.20 and 2,089.84 is: 2,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.76 : 4,186.20 = 2,089.84 : x
  2. Step 2: Convert to fraction form
    3,033.76/4,186.20 = 2,089.84/x
  3. Step 3: Cross multiply
    3,033.76x = 4,186.20 × 2,089.84
  4. Step 4: Simplify right side
    3,033.76x = 8,748,488.21
  5. Step 5: Solve for x
    x = 8,748,488.21/3,033.76
  6. Step 6: Final answer
    x = 2,883.71

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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.