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Finding the Fourth Proportional to 3,066.40, 4,231.40 and 1,740.32

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Solution

The fourth proportional to 3,066.40, 4,231.40 and 1,740.32 is: 2,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.40 : 4,231.40 = 1,740.32 : x
  2. Step 2: Convert to fraction form
    3,066.40/4,231.40 = 1,740.32/x
  3. Step 3: Cross multiply
    3,066.40x = 4,231.40 × 1,740.32
  4. Step 4: Simplify right side
    3,066.40x = 7,363,990.05
  5. Step 5: Solve for x
    x = 7,363,990.05/3,066.40
  6. Step 6: Final answer
    x = 2,401.51

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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.