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Finding the Fourth Proportional to 3,001.22, 4,501.83 and 921.23

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Solution

The fourth proportional to 3,001.22, 4,501.83 and 921.23 is: 1,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.22 : 4,501.83 = 921.23 : x
  2. Step 2: Convert to fraction form
    3,001.22/4,501.83 = 921.23/x
  3. Step 3: Cross multiply
    3,001.22x = 4,501.83 × 921.23
  4. Step 4: Simplify right side
    3,001.22x = 4,147,220.85
  5. Step 5: Solve for x
    x = 4,147,220.85/3,001.22
  6. Step 6: Final answer
    x = 1,381.85

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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.