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Finding the Fourth Proportional to 2,441.89, 3,662.44 and 710.11

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Solution

The fourth proportional to 2,441.89, 3,662.44 and 710.11 is: 1,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.89 : 3,662.44 = 710.11 : x
  2. Step 2: Convert to fraction form
    2,441.89/3,662.44 = 710.11/x
  3. Step 3: Cross multiply
    2,441.89x = 3,662.44 × 710.11
  4. Step 4: Simplify right side
    2,441.89x = 2,600,735.27
  5. Step 5: Solve for x
    x = 2,600,735.27/2,441.89
  6. Step 6: Final answer
    x = 1,065.05

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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.