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Finding the Fourth Proportional to 2,847.81, 4,265.11 and 1,457.70

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Solution

The fourth proportional to 2,847.81, 4,265.11 and 1,457.70 is: 2,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.81 : 4,265.11 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    2,847.81/4,265.11 = 1,457.70/x
  3. Step 3: Cross multiply
    2,847.81x = 4,265.11 × 1,457.70
  4. Step 4: Simplify right side
    2,847.81x = 6,217,228.48
  5. Step 5: Solve for x
    x = 6,217,228.48/2,847.81
  6. Step 6: Final answer
    x = 2,183.16

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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.