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Finding the Fourth Proportional to 3,066.56, 4,231.72 and 1,740.23

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Solution

The fourth proportional to 3,066.56, 4,231.72 and 1,740.23 is: 2,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.56 : 4,231.72 = 1,740.23 : x
  2. Step 2: Convert to fraction form
    3,066.56/4,231.72 = 1,740.23/x
  3. Step 3: Cross multiply
    3,066.56x = 4,231.72 × 1,740.23
  4. Step 4: Simplify right side
    3,066.56x = 7,364,172.32
  5. Step 5: Solve for x
    x = 7,364,172.32/3,066.56
  6. Step 6: Final answer
    x = 2,401.45

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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.