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Finding the Fourth Proportional to 4,468.60, 6,702.60 and 1,181.62

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Solution

The fourth proportional to 4,468.60, 6,702.60 and 1,181.62 is: 1,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.60 : 6,702.60 = 1,181.62 : x
  2. Step 2: Convert to fraction form
    4,468.60/6,702.60 = 1,181.62/x
  3. Step 3: Cross multiply
    4,468.60x = 6,702.60 × 1,181.62
  4. Step 4: Simplify right side
    4,468.60x = 7,919,926.21
  5. Step 5: Solve for x
    x = 7,919,926.21/4,468.60
  6. Step 6: Final answer
    x = 1,772.35

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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.