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Finding the Fourth Proportional to 3,264.42, 4,896.60 and 2,294.84

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Solution

The fourth proportional to 3,264.42, 4,896.60 and 2,294.84 is: 3,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.42 : 4,896.60 = 2,294.84 : x
  2. Step 2: Convert to fraction form
    3,264.42/4,896.60 = 2,294.84/x
  3. Step 3: Cross multiply
    3,264.42x = 4,896.60 × 2,294.84
  4. Step 4: Simplify right side
    3,264.42x = 11,236,913.54
  5. Step 5: Solve for x
    x = 11,236,913.54/3,264.42
  6. Step 6: Final answer
    x = 3,442.24

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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.