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Finding the Fourth Proportional to 3,066.86, 4,231.34 and 1,740.22

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Solution

The fourth proportional to 3,066.86, 4,231.34 and 1,740.22 is: 2,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.86 : 4,231.34 = 1,740.22 : x
  2. Step 2: Convert to fraction form
    3,066.86/4,231.34 = 1,740.22/x
  3. Step 3: Cross multiply
    3,066.86x = 4,231.34 × 1,740.22
  4. Step 4: Simplify right side
    3,066.86x = 7,363,449.74
  5. Step 5: Solve for x
    x = 7,363,449.74/3,066.86
  6. Step 6: Final answer
    x = 2,400.97

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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.