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Finding the Fourth Proportional to 2,815, 4,222.04 and 1,254.64

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Solution

The fourth proportional to 2,815, 4,222.04 and 1,254.64 is: 1,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815 : 4,222.04 = 1,254.64 : x
  2. Step 2: Convert to fraction form
    2,815/4,222.04 = 1,254.64/x
  3. Step 3: Cross multiply
    2,815x = 4,222.04 × 1,254.64
  4. Step 4: Simplify right side
    2,815x = 5,297,140.27
  5. Step 5: Solve for x
    x = 5,297,140.27/2,815
  6. Step 6: Final answer
    x = 1,881.75

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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.