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Finding the Fourth Proportional to 2,111.60, 3,167.24 and 572.56

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Solution

The fourth proportional to 2,111.60, 3,167.24 and 572.56 is: 858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.60 : 3,167.24 = 572.56 : x
  2. Step 2: Convert to fraction form
    2,111.60/3,167.24 = 572.56/x
  3. Step 3: Cross multiply
    2,111.60x = 3,167.24 × 572.56
  4. Step 4: Simplify right side
    2,111.60x = 1,813,434.93
  5. Step 5: Solve for x
    x = 1,813,434.93/2,111.60
  6. Step 6: Final answer
    x = 858.80

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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.