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Finding the Fourth Proportional to 2,187.05, 3,281.07 and 800.38

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Solution

The fourth proportional to 2,187.05, 3,281.07 and 800.38 is: 1,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.05 : 3,281.07 = 800.38 : x
  2. Step 2: Convert to fraction form
    2,187.05/3,281.07 = 800.38/x
  3. Step 3: Cross multiply
    2,187.05x = 3,281.07 × 800.38
  4. Step 4: Simplify right side
    2,187.05x = 2,626,102.81
  5. Step 5: Solve for x
    x = 2,626,102.81/2,187.05
  6. Step 6: Final answer
    x = 1,200.75

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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.