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Finding the Fourth Proportional to 2,999.86, 4,491.90 and 2,411.74

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Solution

The fourth proportional to 2,999.86, 4,491.90 and 2,411.74 is: 3,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.86 : 4,491.90 = 2,411.74 : x
  2. Step 2: Convert to fraction form
    2,999.86/4,491.90 = 2,411.74/x
  3. Step 3: Cross multiply
    2,999.86x = 4,491.90 × 2,411.74
  4. Step 4: Simplify right side
    2,999.86x = 10,833,294.91
  5. Step 5: Solve for x
    x = 10,833,294.91/2,999.86
  6. Step 6: Final answer
    x = 3,611.27

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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.