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Finding the Fourth Proportional to 3,099.58, 4,648.44 and 1,637.94

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Solution

The fourth proportional to 3,099.58, 4,648.44 and 1,637.94 is: 2,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.58 : 4,648.44 = 1,637.94 : x
  2. Step 2: Convert to fraction form
    3,099.58/4,648.44 = 1,637.94/x
  3. Step 3: Cross multiply
    3,099.58x = 4,648.44 × 1,637.94
  4. Step 4: Simplify right side
    3,099.58x = 7,613,865.81
  5. Step 5: Solve for x
    x = 7,613,865.81/3,099.58
  6. Step 6: Final answer
    x = 2,456.42

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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.