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Finding the Fourth Proportional to 2,098.63, 2,894.83 and 1,351.41

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Solution

The fourth proportional to 2,098.63, 2,894.83 and 1,351.41 is: 1,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.63 : 2,894.83 = 1,351.41 : x
  2. Step 2: Convert to fraction form
    2,098.63/2,894.83 = 1,351.41/x
  3. Step 3: Cross multiply
    2,098.63x = 2,894.83 × 1,351.41
  4. Step 4: Simplify right side
    2,098.63x = 3,912,102.21
  5. Step 5: Solve for x
    x = 3,912,102.21/2,098.63
  6. Step 6: Final answer
    x = 1,864.12

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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.