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Finding the Fourth Proportional to 2,111.38, 3,167.07 and 572.38

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Solution

The fourth proportional to 2,111.38, 3,167.07 and 572.38 is: 858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.38 : 3,167.07 = 572.38 : x
  2. Step 2: Convert to fraction form
    2,111.38/3,167.07 = 572.38/x
  3. Step 3: Cross multiply
    2,111.38x = 3,167.07 × 572.38
  4. Step 4: Simplify right side
    2,111.38x = 1,812,751.69
  5. Step 5: Solve for x
    x = 1,812,751.69/2,111.38
  6. Step 6: Final answer
    x = 858.56

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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.