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Finding the Fourth Proportional to 3,097.68, 4,274.82 and 1,771.38

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Solution

The fourth proportional to 3,097.68, 4,274.82 and 1,771.38 is: 2,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.68 : 4,274.82 = 1,771.38 : x
  2. Step 2: Convert to fraction form
    3,097.68/4,274.82 = 1,771.38/x
  3. Step 3: Cross multiply
    3,097.68x = 4,274.82 × 1,771.38
  4. Step 4: Simplify right side
    3,097.68x = 7,572,330.65
  5. Step 5: Solve for x
    x = 7,572,330.65/3,097.68
  6. Step 6: Final answer
    x = 2,444.52

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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.