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Finding the Fourth Proportional to 2,192.24, 3,288.40 and 632.39

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Solution

The fourth proportional to 2,192.24, 3,288.40 and 632.39 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.24 : 3,288.40 = 632.39 : x
  2. Step 2: Convert to fraction form
    2,192.24/3,288.40 = 632.39/x
  3. Step 3: Cross multiply
    2,192.24x = 3,288.40 × 632.39
  4. Step 4: Simplify right side
    2,192.24x = 2,079,533.25
  5. Step 5: Solve for x
    x = 2,079,533.25/2,192.24
  6. Step 6: Final answer
    x = 948.59

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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.