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Finding the Fourth Proportional to 3,097.76, 4,274.96 and 1,771.88

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Solution

The fourth proportional to 3,097.76, 4,274.96 and 1,771.88 is: 2,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.76 : 4,274.96 = 1,771.88 : x
  2. Step 2: Convert to fraction form
    3,097.76/4,274.96 = 1,771.88/x
  3. Step 3: Cross multiply
    3,097.76x = 4,274.96 × 1,771.88
  4. Step 4: Simplify right side
    3,097.76x = 7,574,685.89
  5. Step 5: Solve for x
    x = 7,574,685.89/3,097.76
  6. Step 6: Final answer
    x = 2,445.22

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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.