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Finding the Fourth Proportional to 2,240.98, 3,361.08 and 597.70

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Solution

The fourth proportional to 2,240.98, 3,361.08 and 597.70 is: 896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.98 : 3,361.08 = 597.70 : x
  2. Step 2: Convert to fraction form
    2,240.98/3,361.08 = 597.70/x
  3. Step 3: Cross multiply
    2,240.98x = 3,361.08 × 597.70
  4. Step 4: Simplify right side
    2,240.98x = 2,008,917.52
  5. Step 5: Solve for x
    x = 2,008,917.52/2,240.98
  6. Step 6: Final answer
    x = 896.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.