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Finding the Fourth Proportional to 2,597.76, 3,896.61 and 2,241

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Solution

The fourth proportional to 2,597.76, 3,896.61 and 2,241 is: 3,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.76 : 3,896.61 = 2,241 : x
  2. Step 2: Convert to fraction form
    2,597.76/3,896.61 = 2,241/x
  3. Step 3: Cross multiply
    2,597.76x = 3,896.61 × 2,241
  4. Step 4: Simplify right side
    2,597.76x = 8,732,303.01
  5. Step 5: Solve for x
    x = 8,732,303.01/2,597.76
  6. Step 6: Final answer
    x = 3,361.47

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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.