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Finding the Fourth Proportional to 2,152.58, 3,228.78 and 613.58

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Solution

The fourth proportional to 2,152.58, 3,228.78 and 613.58 is: 920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.58 : 3,228.78 = 613.58 : x
  2. Step 2: Convert to fraction form
    2,152.58/3,228.78 = 613.58/x
  3. Step 3: Cross multiply
    2,152.58x = 3,228.78 × 613.58
  4. Step 4: Simplify right side
    2,152.58x = 1,981,098.69
  5. Step 5: Solve for x
    x = 1,981,098.69/2,152.58
  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.