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Finding the Fourth Proportional to 2,115.41, 3,172.89 and 555.57

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Solution

The fourth proportional to 2,115.41, 3,172.89 and 555.57 is: 833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.41 : 3,172.89 = 555.57 : x
  2. Step 2: Convert to fraction form
    2,115.41/3,172.89 = 555.57/x
  3. Step 3: Cross multiply
    2,115.41x = 3,172.89 × 555.57
  4. Step 4: Simplify right side
    2,115.41x = 1,762,761.11
  5. Step 5: Solve for x
    x = 1,762,761.11/2,115.41
  6. Step 6: Final answer
    x = 833.29

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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.