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Finding the Fourth Proportional to 1,807.35, 2,493.82 and 1,098.97

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Solution

The fourth proportional to 1,807.35, 2,493.82 and 1,098.97 is: 1,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.35 : 2,493.82 = 1,098.97 : x
  2. Step 2: Convert to fraction form
    1,807.35/2,493.82 = 1,098.97/x
  3. Step 3: Cross multiply
    1,807.35x = 2,493.82 × 1,098.97
  4. Step 4: Simplify right side
    1,807.35x = 2,740,627.93
  5. Step 5: Solve for x
    x = 2,740,627.93/1,807.35
  6. Step 6: Final answer
    x = 1,516.38

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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.