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Finding the Fourth Proportional to 2,815.53, 4,222.23 and 941.03

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Solution

The fourth proportional to 2,815.53, 4,222.23 and 941.03 is: 1,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.53 : 4,222.23 = 941.03 : x
  2. Step 2: Convert to fraction form
    2,815.53/4,222.23 = 941.03/x
  3. Step 3: Cross multiply
    2,815.53x = 4,222.23 × 941.03
  4. Step 4: Simplify right side
    2,815.53x = 3,973,260.04
  5. Step 5: Solve for x
    x = 3,973,260.04/2,815.53
  6. Step 6: Final answer
    x = 1,411.20

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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.