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Finding the Fourth Proportional to 3,089.86, 4,636.10 and 2,050.22

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Solution

The fourth proportional to 3,089.86, 4,636.10 and 2,050.22 is: 3,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.86 : 4,636.10 = 2,050.22 : x
  2. Step 2: Convert to fraction form
    3,089.86/4,636.10 = 2,050.22/x
  3. Step 3: Cross multiply
    3,089.86x = 4,636.10 × 2,050.22
  4. Step 4: Simplify right side
    3,089.86x = 9,505,024.94
  5. Step 5: Solve for x
    x = 9,505,024.94/3,089.86
  6. Step 6: Final answer
    x = 3,076.20

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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.