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Finding the Fourth Proportional to 2,032.54, 3,048.18 and 733.84

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Solution

The fourth proportional to 2,032.54, 3,048.18 and 733.84 is: 1,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.54 : 3,048.18 = 733.84 : x
  2. Step 2: Convert to fraction form
    2,032.54/3,048.18 = 733.84/x
  3. Step 3: Cross multiply
    2,032.54x = 3,048.18 × 733.84
  4. Step 4: Simplify right side
    2,032.54x = 2,236,876.41
  5. Step 5: Solve for x
    x = 2,236,876.41/2,032.54
  6. Step 6: Final answer
    x = 1,100.53

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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.