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Finding the Fourth Proportional to 2,900.25, 4,353.96 and 2,747.16

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Solution

The fourth proportional to 2,900.25, 4,353.96 and 2,747.16 is: 4,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.25 : 4,353.96 = 2,747.16 : x
  2. Step 2: Convert to fraction form
    2,900.25/4,353.96 = 2,747.16/x
  3. Step 3: Cross multiply
    2,900.25x = 4,353.96 × 2,747.16
  4. Step 4: Simplify right side
    2,900.25x = 11,961,024.75
  5. Step 5: Solve for x
    x = 11,961,024.75/2,900.25
  6. Step 6: Final answer
    x = 4,124.14

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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.