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Finding the Fourth Proportional to 2,098.88, 3,147.24 and 944

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Solution

The fourth proportional to 2,098.88, 3,147.24 and 944 is: 1,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.88 : 3,147.24 = 944 : x
  2. Step 2: Convert to fraction form
    2,098.88/3,147.24 = 944/x
  3. Step 3: Cross multiply
    2,098.88x = 3,147.24 × 944
  4. Step 4: Simplify right side
    2,098.88x = 2,970,994.56
  5. Step 5: Solve for x
    x = 2,970,994.56/2,098.88
  6. Step 6: Final answer
    x = 1,415.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.