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Finding the Fourth Proportional to 2,032.09, 3,047.73 and 935.89

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Solution

The fourth proportional to 2,032.09, 3,047.73 and 935.89 is: 1,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.09 : 3,047.73 = 935.89 : x
  2. Step 2: Convert to fraction form
    2,032.09/3,047.73 = 935.89/x
  3. Step 3: Cross multiply
    2,032.09x = 3,047.73 × 935.89
  4. Step 4: Simplify right side
    2,032.09x = 2,852,340.03
  5. Step 5: Solve for x
    x = 2,852,340.03/2,032.09
  6. Step 6: Final answer
    x = 1,403.65

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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.