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Finding the Fourth Proportional to 4,468.77, 6,703.50 and 1,181.78

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Solution

The fourth proportional to 4,468.77, 6,703.50 and 1,181.78 is: 1,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.77 : 6,703.50 = 1,181.78 : x
  2. Step 2: Convert to fraction form
    4,468.77/6,703.50 = 1,181.78/x
  3. Step 3: Cross multiply
    4,468.77x = 6,703.50 × 1,181.78
  4. Step 4: Simplify right side
    4,468.77x = 7,922,040.55
  5. Step 5: Solve for x
    x = 7,922,040.55/4,468.77
  6. Step 6: Final answer
    x = 1,772.76

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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.