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Finding the Fourth Proportional to 3,066.42, 4,231.62 and 1,669.16

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Solution

The fourth proportional to 3,066.42, 4,231.62 and 1,669.16 is: 2,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.42 : 4,231.62 = 1,669.16 : x
  2. Step 2: Convert to fraction form
    3,066.42/4,231.62 = 1,669.16/x
  3. Step 3: Cross multiply
    3,066.42x = 4,231.62 × 1,669.16
  4. Step 4: Simplify right side
    3,066.42x = 7,063,250.84
  5. Step 5: Solve for x
    x = 7,063,250.84/3,066.42
  6. Step 6: Final answer
    x = 2,303.42

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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.