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Finding the Fourth Proportional to 2,032.30, 3,048.88 and 645.47

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Solution

The fourth proportional to 2,032.30, 3,048.88 and 645.47 is: 968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.30 : 3,048.88 = 645.47 : x
  2. Step 2: Convert to fraction form
    2,032.30/3,048.88 = 645.47/x
  3. Step 3: Cross multiply
    2,032.30x = 3,048.88 × 645.47
  4. Step 4: Simplify right side
    2,032.30x = 1,967,945.33
  5. Step 5: Solve for x
    x = 1,967,945.33/2,032.30
  6. Step 6: Final answer
    x = 968.33

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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.