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Finding the Fourth Proportional to 2,220.74, 3,330.69 and 739.98

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Solution

The fourth proportional to 2,220.74, 3,330.69 and 739.98 is: 1,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.74 : 3,330.69 = 739.98 : x
  2. Step 2: Convert to fraction form
    2,220.74/3,330.69 = 739.98/x
  3. Step 3: Cross multiply
    2,220.74x = 3,330.69 × 739.98
  4. Step 4: Simplify right side
    2,220.74x = 2,464,643.99
  5. Step 5: Solve for x
    x = 2,464,643.99/2,220.74
  6. Step 6: Final answer
    x = 1,109.83

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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.