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Finding the Fourth Proportional to 3,097.70, 4,274.74 and 1,771.54

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Solution

The fourth proportional to 3,097.70, 4,274.74 and 1,771.54 is: 2,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.70 : 4,274.74 = 1,771.54 : x
  2. Step 2: Convert to fraction form
    3,097.70/4,274.74 = 1,771.54/x
  3. Step 3: Cross multiply
    3,097.70x = 4,274.74 × 1,771.54
  4. Step 4: Simplify right side
    3,097.70x = 7,572,872.90
  5. Step 5: Solve for x
    x = 7,572,872.90/3,097.70
  6. Step 6: Final answer
    x = 2,444.68

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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.