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Finding the Fourth Proportional to 2,093.76, 2,889.38 and 1,162.26

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Solution

The fourth proportional to 2,093.76, 2,889.38 and 1,162.26 is: 1,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.76 : 2,889.38 = 1,162.26 : x
  2. Step 2: Convert to fraction form
    2,093.76/2,889.38 = 1,162.26/x
  3. Step 3: Cross multiply
    2,093.76x = 2,889.38 × 1,162.26
  4. Step 4: Simplify right side
    2,093.76x = 3,358,210.80
  5. Step 5: Solve for x
    x = 3,358,210.80/2,093.76
  6. Step 6: Final answer
    x = 1,603.91

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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.