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Finding the Fourth Proportional to 2,098.88, 3,148.55 and 800.36

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Solution

The fourth proportional to 2,098.88, 3,148.55 and 800.36 is: 1,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.88 : 3,148.55 = 800.36 : x
  2. Step 2: Convert to fraction form
    2,098.88/3,148.55 = 800.36/x
  3. Step 3: Cross multiply
    2,098.88x = 3,148.55 × 800.36
  4. Step 4: Simplify right side
    2,098.88x = 2,519,953.73
  5. Step 5: Solve for x
    x = 2,519,953.73/2,098.88
  6. Step 6: Final answer
    x = 1,200.62

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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.