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Finding the Fourth Proportional to 3,044.64, 4,202.38 and 1,985.30

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Solution

The fourth proportional to 3,044.64, 4,202.38 and 1,985.30 is: 2,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.64 : 4,202.38 = 1,985.30 : x
  2. Step 2: Convert to fraction form
    3,044.64/4,202.38 = 1,985.30/x
  3. Step 3: Cross multiply
    3,044.64x = 4,202.38 × 1,985.30
  4. Step 4: Simplify right side
    3,044.64x = 8,342,985.01
  5. Step 5: Solve for x
    x = 8,342,985.01/3,044.64
  6. Step 6: Final answer
    x = 2,740.22

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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.