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Finding the Fourth Proportional to 2,173.80, 2,999.10 and 1,388.31

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Solution

The fourth proportional to 2,173.80, 2,999.10 and 1,388.31 is: 1,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.80 : 2,999.10 = 1,388.31 : x
  2. Step 2: Convert to fraction form
    2,173.80/2,999.10 = 1,388.31/x
  3. Step 3: Cross multiply
    2,173.80x = 2,999.10 × 1,388.31
  4. Step 4: Simplify right side
    2,173.80x = 4,163,680.52
  5. Step 5: Solve for x
    x = 4,163,680.52/2,173.80
  6. Step 6: Final answer
    x = 1,915.39

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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.