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Finding the Fourth Proportional to 2,297.89, 3,167.40 and 1,551.61

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Solution

The fourth proportional to 2,297.89, 3,167.40 and 1,551.61 is: 2,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.89 : 3,167.40 = 1,551.61 : x
  2. Step 2: Convert to fraction form
    2,297.89/3,167.40 = 1,551.61/x
  3. Step 3: Cross multiply
    2,297.89x = 3,167.40 × 1,551.61
  4. Step 4: Simplify right side
    2,297.89x = 4,914,569.51
  5. Step 5: Solve for x
    x = 4,914,569.51/2,297.89
  6. Step 6: Final answer
    x = 2,138.73

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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.