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Finding the Fourth Proportional to 2,032.08, 3,048.11 and 645.56

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Solution

The fourth proportional to 2,032.08, 3,048.11 and 645.56 is: 968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.08 : 3,048.11 = 645.56 : x
  2. Step 2: Convert to fraction form
    2,032.08/3,048.11 = 645.56/x
  3. Step 3: Cross multiply
    2,032.08x = 3,048.11 × 645.56
  4. Step 4: Simplify right side
    2,032.08x = 1,967,737.89
  5. Step 5: Solve for x
    x = 1,967,737.89/2,032.08
  6. Step 6: Final answer
    x = 968.34

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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.