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Finding the Fourth Proportional to 2,703.40, 4,028.23 and 2,408.64

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Solution

The fourth proportional to 2,703.40, 4,028.23 and 2,408.64 is: 3,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.40 : 4,028.23 = 2,408.64 : x
  2. Step 2: Convert to fraction form
    2,703.40/4,028.23 = 2,408.64/x
  3. Step 3: Cross multiply
    2,703.40x = 4,028.23 × 2,408.64
  4. Step 4: Simplify right side
    2,703.40x = 9,702,555.91
  5. Step 5: Solve for x
    x = 9,702,555.91/2,703.40
  6. Step 6: Final answer
    x = 3,589.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.