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Finding the Fourth Proportional to 2,871.02, 4,305.17 and 1,022.10

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Solution

The fourth proportional to 2,871.02, 4,305.17 and 1,022.10 is: 1,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.02 : 4,305.17 = 1,022.10 : x
  2. Step 2: Convert to fraction form
    2,871.02/4,305.17 = 1,022.10/x
  3. Step 3: Cross multiply
    2,871.02x = 4,305.17 × 1,022.10
  4. Step 4: Simplify right side
    2,871.02x = 4,400,309.15
  5. Step 5: Solve for x
    x = 4,400,309.15/2,871.02
  6. Step 6: Final answer
    x = 1,532.67

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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.