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Finding the Fourth Proportional to 3,066.33, 4,231.84 and 1,807.77

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Solution

The fourth proportional to 3,066.33, 4,231.84 and 1,807.77 is: 2,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.33 : 4,231.84 = 1,807.77 : x
  2. Step 2: Convert to fraction form
    3,066.33/4,231.84 = 1,807.77/x
  3. Step 3: Cross multiply
    3,066.33x = 4,231.84 × 1,807.77
  4. Step 4: Simplify right side
    3,066.33x = 7,650,193.40
  5. Step 5: Solve for x
    x = 7,650,193.40/3,066.33
  6. Step 6: Final answer
    x = 2,494.90

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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.