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Finding the Fourth Proportional to 3,097.64, 4,274.72 and 1,771.57

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Solution

The fourth proportional to 3,097.64, 4,274.72 and 1,771.57 is: 2,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,274.72 = 1,771.57 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,274.72 = 1,771.57/x
  3. Step 3: Cross multiply
    3,097.64x = 4,274.72 × 1,771.57
  4. Step 4: Simplify right side
    3,097.64x = 7,572,978.80
  5. Step 5: Solve for x
    x = 7,572,978.80/3,097.64
  6. Step 6: Final answer
    x = 2,444.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.