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Finding the Fourth Proportional to 2,815.44, 4,223.97 and 1,428.72

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Solution

The fourth proportional to 2,815.44, 4,223.97 and 1,428.72 is: 2,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.44 : 4,223.97 = 1,428.72 : x
  2. Step 2: Convert to fraction form
    2,815.44/4,223.97 = 1,428.72/x
  3. Step 3: Cross multiply
    2,815.44x = 4,223.97 × 1,428.72
  4. Step 4: Simplify right side
    2,815.44x = 6,034,870.42
  5. Step 5: Solve for x
    x = 6,034,870.42/2,815.44
  6. Step 6: Final answer
    x = 2,143.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.