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Finding the Fourth Proportional to 1,917.84, 2,872.48 and 1,667.84

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Solution

The fourth proportional to 1,917.84, 2,872.48 and 1,667.84 is: 2,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.84 : 2,872.48 = 1,667.84 : x
  2. Step 2: Convert to fraction form
    1,917.84/2,872.48 = 1,667.84/x
  3. Step 3: Cross multiply
    1,917.84x = 2,872.48 × 1,667.84
  4. Step 4: Simplify right side
    1,917.84x = 4,790,837.04
  5. Step 5: Solve for x
    x = 4,790,837.04/1,917.84
  6. Step 6: Final answer
    x = 2,498.04

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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.