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Finding the Fourth Proportional to 2,059.08, 3,086.28 and 888.50

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Solution

The fourth proportional to 2,059.08, 3,086.28 and 888.50 is: 1,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.08 : 3,086.28 = 888.50 : x
  2. Step 2: Convert to fraction form
    2,059.08/3,086.28 = 888.50/x
  3. Step 3: Cross multiply
    2,059.08x = 3,086.28 × 888.50
  4. Step 4: Simplify right side
    2,059.08x = 2,742,144.35
  5. Step 5: Solve for x
    x = 2,742,144.35/2,059.08
  6. Step 6: Final answer
    x = 1,331.73

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Why These Related Problems?

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