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Finding the Fourth Proportional to 2,165.50, 2,988.42 and 1,379.38

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Solution

The fourth proportional to 2,165.50, 2,988.42 and 1,379.38 is: 1,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.50 : 2,988.42 = 1,379.38 : x
  2. Step 2: Convert to fraction form
    2,165.50/2,988.42 = 1,379.38/x
  3. Step 3: Cross multiply
    2,165.50x = 2,988.42 × 1,379.38
  4. Step 4: Simplify right side
    2,165.50x = 4,122,166.78
  5. Step 5: Solve for x
    x = 4,122,166.78/2,165.50
  6. Step 6: Final answer
    x = 1,903.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.