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Finding the Fourth Proportional to 2,511.81, 3,768.35 and 868.37

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Solution

The fourth proportional to 2,511.81, 3,768.35 and 868.37 is: 1,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.81 : 3,768.35 = 868.37 : x
  2. Step 2: Convert to fraction form
    2,511.81/3,768.35 = 868.37/x
  3. Step 3: Cross multiply
    2,511.81x = 3,768.35 × 868.37
  4. Step 4: Simplify right side
    2,511.81x = 3,272,298.91
  5. Step 5: Solve for x
    x = 3,272,298.91/2,511.81
  6. Step 6: Final answer
    x = 1,302.77

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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.