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Finding the Fourth Proportional to 2,030.88, 3,046.32 and 935.04

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Solution

The fourth proportional to 2,030.88, 3,046.32 and 935.04 is: 1,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.88 : 3,046.32 = 935.04 : x
  2. Step 2: Convert to fraction form
    2,030.88/3,046.32 = 935.04/x
  3. Step 3: Cross multiply
    2,030.88x = 3,046.32 × 935.04
  4. Step 4: Simplify right side
    2,030.88x = 2,848,431.05
  5. Step 5: Solve for x
    x = 2,848,431.05/2,030.88
  6. Step 6: Final answer
    x = 1,402.56

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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.