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Finding the Fourth Proportional to 2,066.54, 3,102.46 and 2,000.94

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Solution

The fourth proportional to 2,066.54, 3,102.46 and 2,000.94 is: 3,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.54 : 3,102.46 = 2,000.94 : x
  2. Step 2: Convert to fraction form
    2,066.54/3,102.46 = 2,000.94/x
  3. Step 3: Cross multiply
    2,066.54x = 3,102.46 × 2,000.94
  4. Step 4: Simplify right side
    2,066.54x = 6,207,836.31
  5. Step 5: Solve for x
    x = 6,207,836.31/2,066.54
  6. Step 6: Final answer
    x = 3,003.98

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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.