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Finding the Fourth Proportional to 3,066.97, 4,232.43 and 1,740.69

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Solution

The fourth proportional to 3,066.97, 4,232.43 and 1,740.69 is: 2,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.97 : 4,232.43 = 1,740.69 : x
  2. Step 2: Convert to fraction form
    3,066.97/4,232.43 = 1,740.69/x
  3. Step 3: Cross multiply
    3,066.97x = 4,232.43 × 1,740.69
  4. Step 4: Simplify right side
    3,066.97x = 7,367,361.41
  5. Step 5: Solve for x
    x = 7,367,361.41/3,066.97
  6. Step 6: Final answer
    x = 2,402.17

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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.