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Finding the Fourth Proportional to 2,551.27, 3,827.51 and 907.96

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Solution

The fourth proportional to 2,551.27, 3,827.51 and 907.96 is: 1,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.27 : 3,827.51 = 907.96 : x
  2. Step 2: Convert to fraction form
    2,551.27/3,827.51 = 907.96/x
  3. Step 3: Cross multiply
    2,551.27x = 3,827.51 × 907.96
  4. Step 4: Simplify right side
    2,551.27x = 3,475,202.30
  5. Step 5: Solve for x
    x = 3,475,202.30/2,551.27
  6. Step 6: Final answer
    x = 1,362.15

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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.