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Finding the Fourth Proportional to 2,099.28, 2,889.18 and 1,678.08

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Solution

The fourth proportional to 2,099.28, 2,889.18 and 1,678.08 is: 2,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.28 : 2,889.18 = 1,678.08 : x
  2. Step 2: Convert to fraction form
    2,099.28/2,889.18 = 1,678.08/x
  3. Step 3: Cross multiply
    2,099.28x = 2,889.18 × 1,678.08
  4. Step 4: Simplify right side
    2,099.28x = 4,848,275.17
  5. Step 5: Solve for x
    x = 4,848,275.17/2,099.28
  6. Step 6: Final answer
    x = 2,309.49

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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.