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Finding the Fourth Proportional to 2,200.74, 3,301.56 and 740.94

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Solution

The fourth proportional to 2,200.74, 3,301.56 and 740.94 is: 1,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.74 : 3,301.56 = 740.94 : x
  2. Step 2: Convert to fraction form
    2,200.74/3,301.56 = 740.94/x
  3. Step 3: Cross multiply
    2,200.74x = 3,301.56 × 740.94
  4. Step 4: Simplify right side
    2,200.74x = 2,446,257.87
  5. Step 5: Solve for x
    x = 2,446,257.87/2,200.74
  6. Step 6: Final answer
    x = 1,111.56

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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.