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Finding the Fourth Proportional to 2,783, 4,172.88 and 1,222.94

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Solution

The fourth proportional to 2,783, 4,172.88 and 1,222.94 is: 1,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783 : 4,172.88 = 1,222.94 : x
  2. Step 2: Convert to fraction form
    2,783/4,172.88 = 1,222.94/x
  3. Step 3: Cross multiply
    2,783x = 4,172.88 × 1,222.94
  4. Step 4: Simplify right side
    2,783x = 5,103,181.87
  5. Step 5: Solve for x
    x = 5,103,181.87/2,783
  6. Step 6: Final answer
    x = 1,833.70

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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.