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Finding the Fourth Proportional to 1,894.64, 2,614.21 and 1,097.92

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Solution

The fourth proportional to 1,894.64, 2,614.21 and 1,097.92 is: 1,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.64 : 2,614.21 = 1,097.92 : x
  2. Step 2: Convert to fraction form
    1,894.64/2,614.21 = 1,097.92/x
  3. Step 3: Cross multiply
    1,894.64x = 2,614.21 × 1,097.92
  4. Step 4: Simplify right side
    1,894.64x = 2,870,193.97
  5. Step 5: Solve for x
    x = 2,870,193.97/1,894.64
  6. Step 6: Final answer
    x = 1,514.90

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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.