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Finding the Fourth Proportional to 2,032.38, 3,048.44 and 645.68

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Solution

The fourth proportional to 2,032.38, 3,048.44 and 645.68 is: 968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.38 : 3,048.44 = 645.68 : x
  2. Step 2: Convert to fraction form
    2,032.38/3,048.44 = 645.68/x
  3. Step 3: Cross multiply
    2,032.38x = 3,048.44 × 645.68
  4. Step 4: Simplify right side
    2,032.38x = 1,968,321.13
  5. Step 5: Solve for x
    x = 1,968,321.13/2,032.38
  6. Step 6: Final answer
    x = 968.48

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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.