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Finding the Fourth Proportional to 2,173.38, 2,999.88 and 1,781.34

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Solution

The fourth proportional to 2,173.38, 2,999.88 and 1,781.34 is: 2,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.38 : 2,999.88 = 1,781.34 : x
  2. Step 2: Convert to fraction form
    2,173.38/2,999.88 = 1,781.34/x
  3. Step 3: Cross multiply
    2,173.38x = 2,999.88 × 1,781.34
  4. Step 4: Simplify right side
    2,173.38x = 5,343,806.24
  5. Step 5: Solve for x
    x = 5,343,806.24/2,173.38
  6. Step 6: Final answer
    x = 2,458.75

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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.