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Finding the Fourth Proportional to 2,155.09, 3,229.50 and 1,060.23

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Solution

The fourth proportional to 2,155.09, 3,229.50 and 1,060.23 is: 1,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.09 : 3,229.50 = 1,060.23 : x
  2. Step 2: Convert to fraction form
    2,155.09/3,229.50 = 1,060.23/x
  3. Step 3: Cross multiply
    2,155.09x = 3,229.50 × 1,060.23
  4. Step 4: Simplify right side
    2,155.09x = 3,424,012.79
  5. Step 5: Solve for x
    x = 3,424,012.79/2,155.09
  6. Step 6: Final answer
    x = 1,588.80

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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.