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Finding the Fourth Proportional to 3,066.69, 4,231.91 and 1,807.80

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Solution

The fourth proportional to 3,066.69, 4,231.91 and 1,807.80 is: 2,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.69 : 4,231.91 = 1,807.80 : x
  2. Step 2: Convert to fraction form
    3,066.69/4,231.91 = 1,807.80/x
  3. Step 3: Cross multiply
    3,066.69x = 4,231.91 × 1,807.80
  4. Step 4: Simplify right side
    3,066.69x = 7,650,437.86
  5. Step 5: Solve for x
    x = 7,650,437.86/3,066.69
  6. Step 6: Final answer
    x = 2,494.69

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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.