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Finding the Fourth Proportional to 2,214.23, 3,321.34 and 570.76

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Solution

The fourth proportional to 2,214.23, 3,321.34 and 570.76 is: 856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.23 : 3,321.34 = 570.76 : x
  2. Step 2: Convert to fraction form
    2,214.23/3,321.34 = 570.76/x
  3. Step 3: Cross multiply
    2,214.23x = 3,321.34 × 570.76
  4. Step 4: Simplify right side
    2,214.23x = 1,895,688.02
  5. Step 5: Solve for x
    x = 1,895,688.02/2,214.23
  6. Step 6: Final answer
    x = 856.14

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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.