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Finding the Fourth Proportional to 2,968.50, 4,097.16 and 2,470.68

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Solution

The fourth proportional to 2,968.50, 4,097.16 and 2,470.68 is: 3,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.50 : 4,097.16 = 2,470.68 : x
  2. Step 2: Convert to fraction form
    2,968.50/4,097.16 = 2,470.68/x
  3. Step 3: Cross multiply
    2,968.50x = 4,097.16 × 2,470.68
  4. Step 4: Simplify right side
    2,968.50x = 10,122,771.27
  5. Step 5: Solve for x
    x = 10,122,771.27/2,968.50
  6. Step 6: Final answer
    x = 3,410.06

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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.