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Finding the Fourth Proportional to 2,815.75, 4,223.63 and 967.40

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Solution

The fourth proportional to 2,815.75, 4,223.63 and 967.40 is: 1,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.75 : 4,223.63 = 967.40 : x
  2. Step 2: Convert to fraction form
    2,815.75/4,223.63 = 967.40/x
  3. Step 3: Cross multiply
    2,815.75x = 4,223.63 × 967.40
  4. Step 4: Simplify right side
    2,815.75x = 4,085,920.96
  5. Step 5: Solve for x
    x = 4,085,920.96/2,815.75
  6. Step 6: Final answer
    x = 1,451.10

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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.