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Finding the Fourth Proportional to 2,046.44, 3,066.12 and 1,610.51

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Solution

The fourth proportional to 2,046.44, 3,066.12 and 1,610.51 is: 2,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.44 : 3,066.12 = 1,610.51 : x
  2. Step 2: Convert to fraction form
    2,046.44/3,066.12 = 1,610.51/x
  3. Step 3: Cross multiply
    2,046.44x = 3,066.12 × 1,610.51
  4. Step 4: Simplify right side
    2,046.44x = 4,938,016.92
  5. Step 5: Solve for x
    x = 4,938,016.92/2,046.44
  6. Step 6: Final answer
    x = 2,412.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.