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Finding the Fourth Proportional to 2,911.21, 4,366.74 and 719.89

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Solution

The fourth proportional to 2,911.21, 4,366.74 and 719.89 is: 1,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.21 : 4,366.74 = 719.89 : x
  2. Step 2: Convert to fraction form
    2,911.21/4,366.74 = 719.89/x
  3. Step 3: Cross multiply
    2,911.21x = 4,366.74 × 719.89
  4. Step 4: Simplify right side
    2,911.21x = 3,143,568.86
  5. Step 5: Solve for x
    x = 3,143,568.86/2,911.21
  6. Step 6: Final answer
    x = 1,079.82

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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.