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Finding the Fourth Proportional to 3,096.64, 4,648.32 and 2,228.16

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Solution

The fourth proportional to 3,096.64, 4,648.32 and 2,228.16 is: 3,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.64 : 4,648.32 = 2,228.16 : x
  2. Step 2: Convert to fraction form
    3,096.64/4,648.32 = 2,228.16/x
  3. Step 3: Cross multiply
    3,096.64x = 4,648.32 × 2,228.16
  4. Step 4: Simplify right side
    3,096.64x = 10,357,200.69
  5. Step 5: Solve for x
    x = 10,357,200.69/3,096.64
  6. Step 6: Final answer
    x = 3,344.66

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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.