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Finding the Fourth Proportional to 2,087.00, 2,864.72 and 1,845.66

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Solution

The fourth proportional to 2,087.00, 2,864.72 and 1,845.66 is: 2,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.00 : 2,864.72 = 1,845.66 : x
  2. Step 2: Convert to fraction form
    2,087.00/2,864.72 = 1,845.66/x
  3. Step 3: Cross multiply
    2,087.00x = 2,864.72 × 1,845.66
  4. Step 4: Simplify right side
    2,087.00x = 5,287,289.89
  5. Step 5: Solve for x
    x = 5,287,289.89/2,087.00
  6. Step 6: Final answer
    x = 2,533.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.