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Finding the Fourth Proportional to 2,222.29, 3,333.53 and 578.98

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Solution

The fourth proportional to 2,222.29, 3,333.53 and 578.98 is: 868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.29 : 3,333.53 = 578.98 : x
  2. Step 2: Convert to fraction form
    2,222.29/3,333.53 = 578.98/x
  3. Step 3: Cross multiply
    2,222.29x = 3,333.53 × 578.98
  4. Step 4: Simplify right side
    2,222.29x = 1,930,047.20
  5. Step 5: Solve for x
    x = 1,930,047.20/2,222.29
  6. Step 6: Final answer
    x = 868.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.