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Finding the Fourth Proportional to 2,551.77, 3,825.72 and 907.83

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Solution

The fourth proportional to 2,551.77, 3,825.72 and 907.83 is: 1,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.77 : 3,825.72 = 907.83 : x
  2. Step 2: Convert to fraction form
    2,551.77/3,825.72 = 907.83/x
  3. Step 3: Cross multiply
    2,551.77x = 3,825.72 × 907.83
  4. Step 4: Simplify right side
    2,551.77x = 3,473,103.39
  5. Step 5: Solve for x
    x = 3,473,103.39/2,551.77
  6. Step 6: Final answer
    x = 1,361.06

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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.