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Finding the Fourth Proportional to 2,225.21, 3,337.81 and 581.58

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Solution

The fourth proportional to 2,225.21, 3,337.81 and 581.58 is: 872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.21 : 3,337.81 = 581.58 : x
  2. Step 2: Convert to fraction form
    2,225.21/3,337.81 = 581.58/x
  3. Step 3: Cross multiply
    2,225.21x = 3,337.81 × 581.58
  4. Step 4: Simplify right side
    2,225.21x = 1,941,202.09
  5. Step 5: Solve for x
    x = 1,941,202.09/2,225.21
  6. Step 6: Final answer
    x = 872.37

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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.