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Finding the Fourth Proportional to 2,111.54, 3,167.30 and 572.54

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Solution

The fourth proportional to 2,111.54, 3,167.30 and 572.54 is: 858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.54 : 3,167.30 = 572.54 : x
  2. Step 2: Convert to fraction form
    2,111.54/3,167.30 = 572.54/x
  3. Step 3: Cross multiply
    2,111.54x = 3,167.30 × 572.54
  4. Step 4: Simplify right side
    2,111.54x = 1,813,387.24
  5. Step 5: Solve for x
    x = 1,813,387.24/2,111.54
  6. Step 6: Final answer
    x = 858.80

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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.