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Finding the Fourth Proportional to 4,511.66, 6,763.17 and 1,431.50

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Solution

The fourth proportional to 4,511.66, 6,763.17 and 1,431.50 is: 2,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.66 : 6,763.17 = 1,431.50 : x
  2. Step 2: Convert to fraction form
    4,511.66/6,763.17 = 1,431.50/x
  3. Step 3: Cross multiply
    4,511.66x = 6,763.17 × 1,431.50
  4. Step 4: Simplify right side
    4,511.66x = 9,681,477.86
  5. Step 5: Solve for x
    x = 9,681,477.86/4,511.66
  6. Step 6: Final answer
    x = 2,145.88

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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.