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Finding the Fourth Proportional to 2,897.50, 4,344.81 and 1,165.66

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Solution

The fourth proportional to 2,897.50, 4,344.81 and 1,165.66 is: 1,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.50 : 4,344.81 = 1,165.66 : x
  2. Step 2: Convert to fraction form
    2,897.50/4,344.81 = 1,165.66/x
  3. Step 3: Cross multiply
    2,897.50x = 4,344.81 × 1,165.66
  4. Step 4: Simplify right side
    2,897.50x = 5,064,571.22
  5. Step 5: Solve for x
    x = 5,064,571.22/2,897.50
  6. Step 6: Final answer
    x = 1,747.91

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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.