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Finding the Fourth Proportional to 2,193.27, 3,289.42 and 632.93

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Solution

The fourth proportional to 2,193.27, 3,289.42 and 632.93 is: 949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.27 : 3,289.42 = 632.93 : x
  2. Step 2: Convert to fraction form
    2,193.27/3,289.42 = 632.93/x
  3. Step 3: Cross multiply
    2,193.27x = 3,289.42 × 632.93
  4. Step 4: Simplify right side
    2,193.27x = 2,081,972.60
  5. Step 5: Solve for x
    x = 2,081,972.60/2,193.27
  6. Step 6: Final answer
    x = 949.26

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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.