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Finding the Fourth Proportional to 2,032.20, 3,048.76 and 645.52

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Solution

The fourth proportional to 2,032.20, 3,048.76 and 645.52 is: 968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.20 : 3,048.76 = 645.52 : x
  2. Step 2: Convert to fraction form
    2,032.20/3,048.76 = 645.52/x
  3. Step 3: Cross multiply
    2,032.20x = 3,048.76 × 645.52
  4. Step 4: Simplify right side
    2,032.20x = 1,968,035.56
  5. Step 5: Solve for x
    x = 1,968,035.56/2,032.20
  6. Step 6: Final answer
    x = 968.43

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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.