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Finding the Fourth Proportional to 2,675.33, 4,010.26 and 919.81

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Solution

The fourth proportional to 2,675.33, 4,010.26 and 919.81 is: 1,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.33 : 4,010.26 = 919.81 : x
  2. Step 2: Convert to fraction form
    2,675.33/4,010.26 = 919.81/x
  3. Step 3: Cross multiply
    2,675.33x = 4,010.26 × 919.81
  4. Step 4: Simplify right side
    2,675.33x = 3,688,659.13
  5. Step 5: Solve for x
    x = 3,688,659.13/2,675.33
  6. Step 6: Final answer
    x = 1,378.77

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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.