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Finding the Fourth Proportional to 2,152.73, 3,228.13 and 613.37

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Solution

The fourth proportional to 2,152.73, 3,228.13 and 613.37 is: 919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.73 : 3,228.13 = 613.37 : x
  2. Step 2: Convert to fraction form
    2,152.73/3,228.13 = 613.37/x
  3. Step 3: Cross multiply
    2,152.73x = 3,228.13 × 613.37
  4. Step 4: Simplify right side
    2,152.73x = 1,980,018.89
  5. Step 5: Solve for x
    x = 1,980,018.89/2,152.73
  6. Step 6: Final answer
    x = 919.77

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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.