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Finding the Fourth Proportional to 2,059.10, 2,838.26 and 1,616.26

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Solution

The fourth proportional to 2,059.10, 2,838.26 and 1,616.26 is: 2,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.10 : 2,838.26 = 1,616.26 : x
  2. Step 2: Convert to fraction form
    2,059.10/2,838.26 = 1,616.26/x
  3. Step 3: Cross multiply
    2,059.10x = 2,838.26 × 1,616.26
  4. Step 4: Simplify right side
    2,059.10x = 4,587,343.84
  5. Step 5: Solve for x
    x = 4,587,343.84/2,059.10
  6. Step 6: Final answer
    x = 2,227.84

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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.