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Finding the Fourth Proportional to 2,032.64, 3,049.14 and 571.81

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Solution

The fourth proportional to 2,032.64, 3,049.14 and 571.81 is: 857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.64 : 3,049.14 = 571.81 : x
  2. Step 2: Convert to fraction form
    2,032.64/3,049.14 = 571.81/x
  3. Step 3: Cross multiply
    2,032.64x = 3,049.14 × 571.81
  4. Step 4: Simplify right side
    2,032.64x = 1,743,513.50
  5. Step 5: Solve for x
    x = 1,743,513.50/2,032.64
  6. Step 6: Final answer
    x = 857.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.