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Finding the Fourth Proportional to 2,153.10, 3,228.69 and 613.74

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Solution

The fourth proportional to 2,153.10, 3,228.69 and 613.74 is: 920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.10 : 3,228.69 = 613.74 : x
  2. Step 2: Convert to fraction form
    2,153.10/3,228.69 = 613.74/x
  3. Step 3: Cross multiply
    2,153.10x = 3,228.69 × 613.74
  4. Step 4: Simplify right side
    2,153.10x = 1,981,576.20
  5. Step 5: Solve for x
    x = 1,981,576.20/2,153.10
  6. Step 6: Final answer
    x = 920.34

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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.