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Finding the Fourth Proportional to 2,896.32, 4,324.72 and 2,304.68

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Solution

The fourth proportional to 2,896.32, 4,324.72 and 2,304.68 is: 3,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.32 : 4,324.72 = 2,304.68 : x
  2. Step 2: Convert to fraction form
    2,896.32/4,324.72 = 2,304.68/x
  3. Step 3: Cross multiply
    2,896.32x = 4,324.72 × 2,304.68
  4. Step 4: Simplify right side
    2,896.32x = 9,967,095.69
  5. Step 5: Solve for x
    x = 9,967,095.69/2,896.32
  6. Step 6: Final answer
    x = 3,441.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.