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Finding the Fourth Proportional to 2,093.52, 2,889.16 and 1,162

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Solution

The fourth proportional to 2,093.52, 2,889.16 and 1,162 is: 1,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.52 : 2,889.16 = 1,162 : x
  2. Step 2: Convert to fraction form
    2,093.52/2,889.16 = 1,162/x
  3. Step 3: Cross multiply
    2,093.52x = 2,889.16 × 1,162
  4. Step 4: Simplify right side
    2,093.52x = 3,357,203.92
  5. Step 5: Solve for x
    x = 3,357,203.92/2,093.52
  6. Step 6: Final answer
    x = 1,603.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.