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Finding the Fourth Proportional to 2,644.90, 3,649.04 and 2,014.43

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Solution

The fourth proportional to 2,644.90, 3,649.04 and 2,014.43 is: 2,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.90 : 3,649.04 = 2,014.43 : x
  2. Step 2: Convert to fraction form
    2,644.90/3,649.04 = 2,014.43/x
  3. Step 3: Cross multiply
    2,644.90x = 3,649.04 × 2,014.43
  4. Step 4: Simplify right side
    2,644.90x = 7,350,750.46
  5. Step 5: Solve for x
    x = 7,350,750.46/2,644.90
  6. Step 6: Final answer
    x = 2,779.21

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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.