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Finding the Fourth Proportional to 2,241.68, 3,362.24 and 598.35

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Solution

The fourth proportional to 2,241.68, 3,362.24 and 598.35 is: 897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.68 : 3,362.24 = 598.35 : x
  2. Step 2: Convert to fraction form
    2,241.68/3,362.24 = 598.35/x
  3. Step 3: Cross multiply
    2,241.68x = 3,362.24 × 598.35
  4. Step 4: Simplify right side
    2,241.68x = 2,011,810.41
  5. Step 5: Solve for x
    x = 2,011,810.41/2,241.68
  6. Step 6: Final answer
    x = 897.46

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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.