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Finding the Fourth Proportional to 2,032.13, 3,048.21 and 664.13

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Solution

The fourth proportional to 2,032.13, 3,048.21 and 664.13 is: 996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.13 : 3,048.21 = 664.13 : x
  2. Step 2: Convert to fraction form
    2,032.13/3,048.21 = 664.13/x
  3. Step 3: Cross multiply
    2,032.13x = 3,048.21 × 664.13
  4. Step 4: Simplify right side
    2,032.13x = 2,024,407.71
  5. Step 5: Solve for x
    x = 2,024,407.71/2,032.13
  6. Step 6: Final answer
    x = 996.20

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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.