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Finding the Fourth Proportional to 3,615.90, 4,989.99 and 2,044

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Solution

The fourth proportional to 3,615.90, 4,989.99 and 2,044 is: 2,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.90 : 4,989.99 = 2,044 : x
  2. Step 2: Convert to fraction form
    3,615.90/4,989.99 = 2,044/x
  3. Step 3: Cross multiply
    3,615.90x = 4,989.99 × 2,044
  4. Step 4: Simplify right side
    3,615.90x = 10,199,539.56
  5. Step 5: Solve for x
    x = 10,199,539.56/3,615.90
  6. Step 6: Final answer
    x = 2,820.75

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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.