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Finding the Fourth Proportional to 2,032, 3,047.64 and 571.28

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Solution

The fourth proportional to 2,032, 3,047.64 and 571.28 is: 856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 3,047.64 = 571.28 : x
  2. Step 2: Convert to fraction form
    2,032/3,047.64 = 571.28/x
  3. Step 3: Cross multiply
    2,032x = 3,047.64 × 571.28
  4. Step 4: Simplify right side
    2,032x = 1,741,055.78
  5. Step 5: Solve for x
    x = 1,741,055.78/2,032
  6. Step 6: Final answer
    x = 856.82

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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.