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Finding the Fourth Proportional to 3,066.54, 4,600.38 and 2,186.85

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Solution

The fourth proportional to 3,066.54, 4,600.38 and 2,186.85 is: 3,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.54 : 4,600.38 = 2,186.85 : x
  2. Step 2: Convert to fraction form
    3,066.54/4,600.38 = 2,186.85/x
  3. Step 3: Cross multiply
    3,066.54x = 4,600.38 × 2,186.85
  4. Step 4: Simplify right side
    3,066.54x = 10,060,341.00
  5. Step 5: Solve for x
    x = 10,060,341.00/3,066.54
  6. Step 6: Final answer
    x = 3,280.68

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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.