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Finding the Fourth Proportional to 2,222.16, 3,333.15 and 578.67

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Solution

The fourth proportional to 2,222.16, 3,333.15 and 578.67 is: 867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.16 : 3,333.15 = 578.67 : x
  2. Step 2: Convert to fraction form
    2,222.16/3,333.15 = 578.67/x
  3. Step 3: Cross multiply
    2,222.16x = 3,333.15 × 578.67
  4. Step 4: Simplify right side
    2,222.16x = 1,928,793.91
  5. Step 5: Solve for x
    x = 1,928,793.91/2,222.16
  6. Step 6: Final answer
    x = 867.98

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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.