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Finding the Fourth Proportional to 2,214.65, 3,321.93 and 571.16

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Solution

The fourth proportional to 2,214.65, 3,321.93 and 571.16 is: 856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.65 : 3,321.93 = 571.16 : x
  2. Step 2: Convert to fraction form
    2,214.65/3,321.93 = 571.16/x
  3. Step 3: Cross multiply
    2,214.65x = 3,321.93 × 571.16
  4. Step 4: Simplify right side
    2,214.65x = 1,897,353.54
  5. Step 5: Solve for x
    x = 1,897,353.54/2,214.65
  6. Step 6: Final answer
    x = 856.73

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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.