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Finding the Fourth Proportional to 2,968.86, 4,097.33 and 1,709.96

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Solution

The fourth proportional to 2,968.86, 4,097.33 and 1,709.96 is: 2,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.86 : 4,097.33 = 1,709.96 : x
  2. Step 2: Convert to fraction form
    2,968.86/4,097.33 = 1,709.96/x
  3. Step 3: Cross multiply
    2,968.86x = 4,097.33 × 1,709.96
  4. Step 4: Simplify right side
    2,968.86x = 7,006,270.41
  5. Step 5: Solve for x
    x = 7,006,270.41/2,968.86
  6. Step 6: Final answer
    x = 2,359.92

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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.