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Finding the Fourth Proportional to 3,023.53, 4,537.04 and 1,268.38

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Solution

The fourth proportional to 3,023.53, 4,537.04 and 1,268.38 is: 1,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.53 : 4,537.04 = 1,268.38 : x
  2. Step 2: Convert to fraction form
    3,023.53/4,537.04 = 1,268.38/x
  3. Step 3: Cross multiply
    3,023.53x = 4,537.04 × 1,268.38
  4. Step 4: Simplify right side
    3,023.53x = 5,754,669.70
  5. Step 5: Solve for x
    x = 5,754,669.70/3,023.53
  6. Step 6: Final answer
    x = 1,903.30

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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.