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Finding the Fourth Proportional to 2,773.40, 4,147.86 and 2,467.40

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Solution

The fourth proportional to 2,773.40, 4,147.86 and 2,467.40 is: 3,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.40 : 4,147.86 = 2,467.40 : x
  2. Step 2: Convert to fraction form
    2,773.40/4,147.86 = 2,467.40/x
  3. Step 3: Cross multiply
    2,773.40x = 4,147.86 × 2,467.40
  4. Step 4: Simplify right side
    2,773.40x = 10,234,429.76
  5. Step 5: Solve for x
    x = 10,234,429.76/2,773.40
  6. Step 6: Final answer
    x = 3,690.21

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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.