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Finding the Fourth Proportional to 2,551.70, 3,520.77 and 1,607.75

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Solution

The fourth proportional to 2,551.70, 3,520.77 and 1,607.75 is: 2,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.70 : 3,520.77 = 1,607.75 : x
  2. Step 2: Convert to fraction form
    2,551.70/3,520.77 = 1,607.75/x
  3. Step 3: Cross multiply
    2,551.70x = 3,520.77 × 1,607.75
  4. Step 4: Simplify right side
    2,551.70x = 5,660,507.54
  5. Step 5: Solve for x
    x = 5,660,507.54/2,551.70
  6. Step 6: Final answer
    x = 2,218.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.