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Finding the Fourth Proportional to 2,032.15, 3,048.34 and 571.19

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Solution

The fourth proportional to 2,032.15, 3,048.34 and 571.19 is: 856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.15 : 3,048.34 = 571.19 : x
  2. Step 2: Convert to fraction form
    2,032.15/3,048.34 = 571.19/x
  3. Step 3: Cross multiply
    2,032.15x = 3,048.34 × 571.19
  4. Step 4: Simplify right side
    2,032.15x = 1,741,172.28
  5. Step 5: Solve for x
    x = 1,741,172.28/2,032.15
  6. Step 6: Final answer
    x = 856.81

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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.