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Finding the Fourth Proportional to 3,096.90, 4,644.54 and 1,148.04

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Solution

The fourth proportional to 3,096.90, 4,644.54 and 1,148.04 is: 1,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.90 : 4,644.54 = 1,148.04 : x
  2. Step 2: Convert to fraction form
    3,096.90/4,644.54 = 1,148.04/x
  3. Step 3: Cross multiply
    3,096.90x = 4,644.54 × 1,148.04
  4. Step 4: Simplify right side
    3,096.90x = 5,332,117.70
  5. Step 5: Solve for x
    x = 5,332,117.70/3,096.90
  6. Step 6: Final answer
    x = 1,721.76

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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.