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Finding the Fourth Proportional to 1,551.67, 2,327.52 and 685.39

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Solution

The fourth proportional to 1,551.67, 2,327.52 and 685.39 is: 1,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.67 : 2,327.52 = 685.39 : x
  2. Step 2: Convert to fraction form
    1,551.67/2,327.52 = 685.39/x
  3. Step 3: Cross multiply
    1,551.67x = 2,327.52 × 685.39
  4. Step 4: Simplify right side
    1,551.67x = 1,595,258.93
  5. Step 5: Solve for x
    x = 1,595,258.93/1,551.67
  6. Step 6: Final answer
    x = 1,028.09

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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.