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Finding the Fourth Proportional to 2,214.14, 3,321.27 and 570.68

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Solution

The fourth proportional to 2,214.14, 3,321.27 and 570.68 is: 856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.14 : 3,321.27 = 570.68 : x
  2. Step 2: Convert to fraction form
    2,214.14/3,321.27 = 570.68/x
  3. Step 3: Cross multiply
    2,214.14x = 3,321.27 × 570.68
  4. Step 4: Simplify right side
    2,214.14x = 1,895,378.21
  5. Step 5: Solve for x
    x = 1,895,378.21/2,214.14
  6. Step 6: Final answer
    x = 856.04

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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.