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Finding the Fourth Proportional to 2,097.12, 3,145.84 and 557.92

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Solution

The fourth proportional to 2,097.12, 3,145.84 and 557.92 is: 836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.12 : 3,145.84 = 557.92 : x
  2. Step 2: Convert to fraction form
    2,097.12/3,145.84 = 557.92/x
  3. Step 3: Cross multiply
    2,097.12x = 3,145.84 × 557.92
  4. Step 4: Simplify right side
    2,097.12x = 1,755,127.05
  5. Step 5: Solve for x
    x = 1,755,127.05/2,097.12
  6. Step 6: Final answer
    x = 836.92

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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.