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Finding the Fourth Proportional to 2,010.95, 3,015.26 and 839.69

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Solution

The fourth proportional to 2,010.95, 3,015.26 and 839.69 is: 1,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.95 : 3,015.26 = 839.69 : x
  2. Step 2: Convert to fraction form
    2,010.95/3,015.26 = 839.69/x
  3. Step 3: Cross multiply
    2,010.95x = 3,015.26 × 839.69
  4. Step 4: Simplify right side
    2,010.95x = 2,531,883.67
  5. Step 5: Solve for x
    x = 2,531,883.67/2,010.95
  6. Step 6: Final answer
    x = 1,259.05

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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.