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Finding the Fourth Proportional to 2,241.78, 3,362.70 and 598.44

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Solution

The fourth proportional to 2,241.78, 3,362.70 and 598.44 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.78 : 3,362.70 = 598.44 : x
  2. Step 2: Convert to fraction form
    2,241.78/3,362.70 = 598.44/x
  3. Step 3: Cross multiply
    2,241.78x = 3,362.70 × 598.44
  4. Step 4: Simplify right side
    2,241.78x = 2,012,374.19
  5. Step 5: Solve for x
    x = 2,012,374.19/2,241.78
  6. Step 6: Final answer
    x = 897.67

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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.