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Finding the Fourth Proportional to 2,010.06, 3,008.16 and 1,269.33

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Solution

The fourth proportional to 2,010.06, 3,008.16 and 1,269.33 is: 1,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.06 : 3,008.16 = 1,269.33 : x
  2. Step 2: Convert to fraction form
    2,010.06/3,008.16 = 1,269.33/x
  3. Step 3: Cross multiply
    2,010.06x = 3,008.16 × 1,269.33
  4. Step 4: Simplify right side
    2,010.06x = 3,818,347.73
  5. Step 5: Solve for x
    x = 3,818,347.73/2,010.06
  6. Step 6: Final answer
    x = 1,899.62

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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.