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Finding the Fourth Proportional to 2,069, 2,851.82 and 1,440.44

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Solution

The fourth proportional to 2,069, 2,851.82 and 1,440.44 is: 1,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069 : 2,851.82 = 1,440.44 : x
  2. Step 2: Convert to fraction form
    2,069/2,851.82 = 1,440.44/x
  3. Step 3: Cross multiply
    2,069x = 2,851.82 × 1,440.44
  4. Step 4: Simplify right side
    2,069x = 4,107,875.60
  5. Step 5: Solve for x
    x = 4,107,875.60/2,069
  6. Step 6: Final answer
    x = 1,985.44

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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.