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Finding the Fourth Proportional to 2,041.96, 3,061.74 and 808.48

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Solution

The fourth proportional to 2,041.96, 3,061.74 and 808.48 is: 1,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.96 : 3,061.74 = 808.48 : x
  2. Step 2: Convert to fraction form
    2,041.96/3,061.74 = 808.48/x
  3. Step 3: Cross multiply
    2,041.96x = 3,061.74 × 808.48
  4. Step 4: Simplify right side
    2,041.96x = 2,475,355.56
  5. Step 5: Solve for x
    x = 2,475,355.56/2,041.96
  6. Step 6: Final answer
    x = 1,212.24

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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.