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Finding the Fourth Proportional to 2,220.26, 3,330.71 and 738.98

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Solution

The fourth proportional to 2,220.26, 3,330.71 and 738.98 is: 1,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.26 : 3,330.71 = 738.98 : x
  2. Step 2: Convert to fraction form
    2,220.26/3,330.71 = 738.98/x
  3. Step 3: Cross multiply
    2,220.26x = 3,330.71 × 738.98
  4. Step 4: Simplify right side
    2,220.26x = 2,461,324.38
  5. Step 5: Solve for x
    x = 2,461,324.38/2,220.26
  6. Step 6: Final answer
    x = 1,108.57

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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.