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Finding the Fourth Proportional to 2,238, 3,088.32 and 1,293.76

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Solution

The fourth proportional to 2,238, 3,088.32 and 1,293.76 is: 1,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238 : 3,088.32 = 1,293.76 : x
  2. Step 2: Convert to fraction form
    2,238/3,088.32 = 1,293.76/x
  3. Step 3: Cross multiply
    2,238x = 3,088.32 × 1,293.76
  4. Step 4: Simplify right side
    2,238x = 3,995,544.88
  5. Step 5: Solve for x
    x = 3,995,544.88/2,238
  6. Step 6: Final answer
    x = 1,785.32

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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.