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Finding the Fourth Proportional to 2,241.71, 3,362.58 and 598.49

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Solution

The fourth proportional to 2,241.71, 3,362.58 and 598.49 is: 897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.71 : 3,362.58 = 598.49 : x
  2. Step 2: Convert to fraction form
    2,241.71/3,362.58 = 598.49/x
  3. Step 3: Cross multiply
    2,241.71x = 3,362.58 × 598.49
  4. Step 4: Simplify right side
    2,241.71x = 2,012,466.30
  5. Step 5: Solve for x
    x = 2,012,466.30/2,241.71
  6. Step 6: Final answer
    x = 897.74

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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.