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Finding the Fourth Proportional to 2,191.30, 3,286.95 and 2,004.10

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Solution

The fourth proportional to 2,191.30, 3,286.95 and 2,004.10 is: 3,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.30 : 3,286.95 = 2,004.10 : x
  2. Step 2: Convert to fraction form
    2,191.30/3,286.95 = 2,004.10/x
  3. Step 3: Cross multiply
    2,191.30x = 3,286.95 × 2,004.10
  4. Step 4: Simplify right side
    2,191.30x = 6,587,376.50
  5. Step 5: Solve for x
    x = 6,587,376.50/2,191.30
  6. Step 6: Final answer
    x = 3,006.15

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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.