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Finding the Fourth Proportional to 4,103.54, 6,155.06 and 1,637.69

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Solution

The fourth proportional to 4,103.54, 6,155.06 and 1,637.69 is: 2,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.54 : 6,155.06 = 1,637.69 : x
  2. Step 2: Convert to fraction form
    4,103.54/6,155.06 = 1,637.69/x
  3. Step 3: Cross multiply
    4,103.54x = 6,155.06 × 1,637.69
  4. Step 4: Simplify right side
    4,103.54x = 10,080,041.25
  5. Step 5: Solve for x
    x = 10,080,041.25/4,103.54
  6. Step 6: Final answer
    x = 2,456.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.