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Finding the Fourth Proportional to 2,099.59, 2,897.20 and 1,215.22

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Solution

The fourth proportional to 2,099.59, 2,897.20 and 1,215.22 is: 1,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.59 : 2,897.20 = 1,215.22 : x
  2. Step 2: Convert to fraction form
    2,099.59/2,897.20 = 1,215.22/x
  3. Step 3: Cross multiply
    2,099.59x = 2,897.20 × 1,215.22
  4. Step 4: Simplify right side
    2,099.59x = 3,520,735.38
  5. Step 5: Solve for x
    x = 3,520,735.38/2,099.59
  6. Step 6: Final answer
    x = 1,676.87

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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.