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Finding the Fourth Proportional to 3,097.76, 4,274.75 and 1,771.61

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Solution

The fourth proportional to 3,097.76, 4,274.75 and 1,771.61 is: 2,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.76 : 4,274.75 = 1,771.61 : x
  2. Step 2: Convert to fraction form
    3,097.76/4,274.75 = 1,771.61/x
  3. Step 3: Cross multiply
    3,097.76x = 4,274.75 × 1,771.61
  4. Step 4: Simplify right side
    3,097.76x = 7,573,172.90
  5. Step 5: Solve for x
    x = 7,573,172.90/3,097.76
  6. Step 6: Final answer
    x = 2,444.73

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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.