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Finding the Fourth Proportional to 3,097.56, 4,274.66 and 1,700.36

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Solution

The fourth proportional to 3,097.56, 4,274.66 and 1,700.36 is: 2,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.56 : 4,274.66 = 1,700.36 : x
  2. Step 2: Convert to fraction form
    3,097.56/4,274.66 = 1,700.36/x
  3. Step 3: Cross multiply
    3,097.56x = 4,274.66 × 1,700.36
  4. Step 4: Simplify right side
    3,097.56x = 7,268,460.88
  5. Step 5: Solve for x
    x = 7,268,460.88/3,097.56
  6. Step 6: Final answer
    x = 2,346.51

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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.