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Finding the Fourth Proportional to 2,968.62, 4,096.98 and 1,709.70

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Solution

The fourth proportional to 2,968.62, 4,096.98 and 1,709.70 is: 2,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.62 : 4,096.98 = 1,709.70 : x
  2. Step 2: Convert to fraction form
    2,968.62/4,096.98 = 1,709.70/x
  3. Step 3: Cross multiply
    2,968.62x = 4,096.98 × 1,709.70
  4. Step 4: Simplify right side
    2,968.62x = 7,004,606.71
  5. Step 5: Solve for x
    x = 7,004,606.71/2,968.62
  6. Step 6: Final answer
    x = 2,359.55

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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.