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Finding the Fourth Proportional to 2,713.76, 4,068.36 and 1,889.60

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Solution

The fourth proportional to 2,713.76, 4,068.36 and 1,889.60 is: 2,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.76 : 4,068.36 = 1,889.60 : x
  2. Step 2: Convert to fraction form
    2,713.76/4,068.36 = 1,889.60/x
  3. Step 3: Cross multiply
    2,713.76x = 4,068.36 × 1,889.60
  4. Step 4: Simplify right side
    2,713.76x = 7,687,573.06
  5. Step 5: Solve for x
    x = 7,687,573.06/2,713.76
  6. Step 6: Final answer
    x = 2,832.81

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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.