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Finding the Fourth Proportional to 2,097.75, 2,894.90 and 1,166.25

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Solution

The fourth proportional to 2,097.75, 2,894.90 and 1,166.25 is: 1,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.75 : 2,894.90 = 1,166.25 : x
  2. Step 2: Convert to fraction form
    2,097.75/2,894.90 = 1,166.25/x
  3. Step 3: Cross multiply
    2,097.75x = 2,894.90 × 1,166.25
  4. Step 4: Simplify right side
    2,097.75x = 3,376,171.29
  5. Step 5: Solve for x
    x = 3,376,171.29/2,097.75
  6. Step 6: Final answer
    x = 1,609.43

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Double scale
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1.5x scale

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.