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Finding the Fourth Proportional to 2,073.32, 2,861.12 and 1,189.12

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Solution

The fourth proportional to 2,073.32, 2,861.12 and 1,189.12 is: 1,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.32 : 2,861.12 = 1,189.12 : x
  2. Step 2: Convert to fraction form
    2,073.32/2,861.12 = 1,189.12/x
  3. Step 3: Cross multiply
    2,073.32x = 2,861.12 × 1,189.12
  4. Step 4: Simplify right side
    2,073.32x = 3,402,215.01
  5. Step 5: Solve for x
    x = 3,402,215.01/2,073.32
  6. Step 6: Final answer
    x = 1,640.95

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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.