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Finding the Fourth Proportional to 2,241.79, 3,362.75 and 598.34

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Solution

The fourth proportional to 2,241.79, 3,362.75 and 598.34 is: 897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.79 : 3,362.75 = 598.34 : x
  2. Step 2: Convert to fraction form
    2,241.79/3,362.75 = 598.34/x
  3. Step 3: Cross multiply
    2,241.79x = 3,362.75 × 598.34
  4. Step 4: Simplify right side
    2,241.79x = 2,012,077.74
  5. Step 5: Solve for x
    x = 2,012,077.74/2,241.79
  6. Step 6: Final answer
    x = 897.53

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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.