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Finding the Fourth Proportional to 4,098.86, 6,147.36 and 1,633.01

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Solution

The fourth proportional to 4,098.86, 6,147.36 and 1,633.01 is: 2,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.86 : 6,147.36 = 1,633.01 : x
  2. Step 2: Convert to fraction form
    4,098.86/6,147.36 = 1,633.01/x
  3. Step 3: Cross multiply
    4,098.86x = 6,147.36 × 1,633.01
  4. Step 4: Simplify right side
    4,098.86x = 10,038,669.62
  5. Step 5: Solve for x
    x = 10,038,669.62/4,098.86
  6. Step 6: Final answer
    x = 2,449.14

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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.