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Finding the Fourth Proportional to 2,293.16, 3,164.51 and 1,245.22

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Solution

The fourth proportional to 2,293.16, 3,164.51 and 1,245.22 is: 1,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.16 : 3,164.51 = 1,245.22 : x
  2. Step 2: Convert to fraction form
    2,293.16/3,164.51 = 1,245.22/x
  3. Step 3: Cross multiply
    2,293.16x = 3,164.51 × 1,245.22
  4. Step 4: Simplify right side
    2,293.16x = 3,940,511.14
  5. Step 5: Solve for x
    x = 3,940,511.14/2,293.16
  6. Step 6: Final answer
    x = 1,718.38

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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.