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Finding the Fourth Proportional to 2,286.67, 3,429.75 and 1,551.00

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Solution

The fourth proportional to 2,286.67, 3,429.75 and 1,551.00 is: 2,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.67 : 3,429.75 = 1,551.00 : x
  2. Step 2: Convert to fraction form
    2,286.67/3,429.75 = 1,551.00/x
  3. Step 3: Cross multiply
    2,286.67x = 3,429.75 × 1,551.00
  4. Step 4: Simplify right side
    2,286.67x = 5,319,555.11
  5. Step 5: Solve for x
    x = 5,319,555.11/2,286.67
  6. Step 6: Final answer
    x = 2,326.34

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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.