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Finding the Fourth Proportional to 2,097.45, 2,894.91 and 1,213.14

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Solution

The fourth proportional to 2,097.45, 2,894.91 and 1,213.14 is: 1,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.45 : 2,894.91 = 1,213.14 : x
  2. Step 2: Convert to fraction form
    2,097.45/2,894.91 = 1,213.14/x
  3. Step 3: Cross multiply
    2,097.45x = 2,894.91 × 1,213.14
  4. Step 4: Simplify right side
    2,097.45x = 3,511,931.12
  5. Step 5: Solve for x
    x = 3,511,931.12/2,097.45
  6. Step 6: Final answer
    x = 1,674.38

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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.