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Finding the Fourth Proportional to 4,441.60, 6,662.40 and 1,154.42

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Solution

The fourth proportional to 4,441.60, 6,662.40 and 1,154.42 is: 1,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.60 : 6,662.40 = 1,154.42 : x
  2. Step 2: Convert to fraction form
    4,441.60/6,662.40 = 1,154.42/x
  3. Step 3: Cross multiply
    4,441.60x = 6,662.40 × 1,154.42
  4. Step 4: Simplify right side
    4,441.60x = 7,691,174.50
  5. Step 5: Solve for x
    x = 7,691,174.50/4,441.60
  6. Step 6: Final answer
    x = 1,731.62

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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.