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Finding the Fourth Proportional to 3,066.42, 4,231.62 and 1,669.18

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Solution

The fourth proportional to 3,066.42, 4,231.62 and 1,669.18 is: 2,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.42 : 4,231.62 = 1,669.18 : x
  2. Step 2: Convert to fraction form
    3,066.42/4,231.62 = 1,669.18/x
  3. Step 3: Cross multiply
    3,066.42x = 4,231.62 × 1,669.18
  4. Step 4: Simplify right side
    3,066.42x = 7,063,335.47
  5. Step 5: Solve for x
    x = 7,063,335.47/3,066.42
  6. Step 6: Final answer
    x = 2,303.45

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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.