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Finding the Fourth Proportional to 3,097.71, 4,274.91 and 1,700.46

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Solution

The fourth proportional to 3,097.71, 4,274.91 and 1,700.46 is: 2,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.71 : 4,274.91 = 1,700.46 : x
  2. Step 2: Convert to fraction form
    3,097.71/4,274.91 = 1,700.46/x
  3. Step 3: Cross multiply
    3,097.71x = 4,274.91 × 1,700.46
  4. Step 4: Simplify right side
    3,097.71x = 7,269,313.46
  5. Step 5: Solve for x
    x = 7,269,313.46/3,097.71
  6. Step 6: Final answer
    x = 2,346.67

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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.