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Finding the Fourth Proportional to 2,192.81, 3,288.85 and 632.45

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Solution

The fourth proportional to 2,192.81, 3,288.85 and 632.45 is: 948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.81 : 3,288.85 = 632.45 : x
  2. Step 2: Convert to fraction form
    2,192.81/3,288.85 = 632.45/x
  3. Step 3: Cross multiply
    2,192.81x = 3,288.85 × 632.45
  4. Step 4: Simplify right side
    2,192.81x = 2,080,039.82
  5. Step 5: Solve for x
    x = 2,080,039.82/2,192.81
  6. Step 6: Final answer
    x = 948.57

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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.