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Finding the Fourth Proportional to 2,187.76, 3,279.66 and 800.13

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Solution

The fourth proportional to 2,187.76, 3,279.66 and 800.13 is: 1,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.76 : 3,279.66 = 800.13 : x
  2. Step 2: Convert to fraction form
    2,187.76/3,279.66 = 800.13/x
  3. Step 3: Cross multiply
    2,187.76x = 3,279.66 × 800.13
  4. Step 4: Simplify right side
    2,187.76x = 2,624,151.96
  5. Step 5: Solve for x
    x = 2,624,151.96/2,187.76
  6. Step 6: Final answer
    x = 1,199.47

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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.