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Finding the Fourth Proportional to 4,160.64, 6,239.04 and 1,968

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Solution

The fourth proportional to 4,160.64, 6,239.04 and 1,968 is: 2,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.64 : 6,239.04 = 1,968 : x
  2. Step 2: Convert to fraction form
    4,160.64/6,239.04 = 1,968/x
  3. Step 3: Cross multiply
    4,160.64x = 6,239.04 × 1,968
  4. Step 4: Simplify right side
    4,160.64x = 12,278,430.72
  5. Step 5: Solve for x
    x = 12,278,430.72/4,160.64
  6. Step 6: Final answer
    x = 2,951.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.