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Finding the Fourth Proportional to 2,097.38, 2,894.99 and 1,680.64

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Solution

The fourth proportional to 2,097.38, 2,894.99 and 1,680.64 is: 2,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.38 : 2,894.99 = 1,680.64 : x
  2. Step 2: Convert to fraction form
    2,097.38/2,894.99 = 1,680.64/x
  3. Step 3: Cross multiply
    2,097.38x = 2,894.99 × 1,680.64
  4. Step 4: Simplify right side
    2,097.38x = 4,865,435.99
  5. Step 5: Solve for x
    x = 4,865,435.99/2,097.38
  6. Step 6: Final answer
    x = 2,319.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.