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Finding the Fourth Proportional to 2,214.29, 3,321.60 and 570.85

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Solution

The fourth proportional to 2,214.29, 3,321.60 and 570.85 is: 856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.29 : 3,321.60 = 570.85 : x
  2. Step 2: Convert to fraction form
    2,214.29/3,321.60 = 570.85/x
  3. Step 3: Cross multiply
    2,214.29x = 3,321.60 × 570.85
  4. Step 4: Simplify right side
    2,214.29x = 1,896,135.36
  5. Step 5: Solve for x
    x = 1,896,135.36/2,214.29
  6. Step 6: Final answer
    x = 856.32

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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.