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Finding the Fourth Proportional to 2,553.30, 3,827.16 and 1,319.09

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Solution

The fourth proportional to 2,553.30, 3,827.16 and 1,319.09 is: 1,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.30 : 3,827.16 = 1,319.09 : x
  2. Step 2: Convert to fraction form
    2,553.30/3,827.16 = 1,319.09/x
  3. Step 3: Cross multiply
    2,553.30x = 3,827.16 × 1,319.09
  4. Step 4: Simplify right side
    2,553.30x = 5,048,349.35
  5. Step 5: Solve for x
    x = 5,048,349.35/2,553.30
  6. Step 6: Final answer
    x = 1,977.19

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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.