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Finding the Fourth Proportional to 2,504.16, 3,758.52 and 2,353.44

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Solution

The fourth proportional to 2,504.16, 3,758.52 and 2,353.44 is: 3,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.16 : 3,758.52 = 2,353.44 : x
  2. Step 2: Convert to fraction form
    2,504.16/3,758.52 = 2,353.44/x
  3. Step 3: Cross multiply
    2,504.16x = 3,758.52 × 2,353.44
  4. Step 4: Simplify right side
    2,504.16x = 8,845,451.31
  5. Step 5: Solve for x
    x = 8,845,451.31/2,504.16
  6. Step 6: Final answer
    x = 3,532.30

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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.