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Finding the Fourth Proportional to 4,467.52, 6,700.71 and 1,180.87

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Solution

The fourth proportional to 4,467.52, 6,700.71 and 1,180.87 is: 1,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.52 : 6,700.71 = 1,180.87 : x
  2. Step 2: Convert to fraction form
    4,467.52/6,700.71 = 1,180.87/x
  3. Step 3: Cross multiply
    4,467.52x = 6,700.71 × 1,180.87
  4. Step 4: Simplify right side
    4,467.52x = 7,912,636.54
  5. Step 5: Solve for x
    x = 7,912,636.54/4,467.52
  6. Step 6: Final answer
    x = 1,771.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.