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Finding the Fourth Proportional to 2,341.47, 3,231.21 and 1,293.54

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Solution

The fourth proportional to 2,341.47, 3,231.21 and 1,293.54 is: 1,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.47 : 3,231.21 = 1,293.54 : x
  2. Step 2: Convert to fraction form
    2,341.47/3,231.21 = 1,293.54/x
  3. Step 3: Cross multiply
    2,341.47x = 3,231.21 × 1,293.54
  4. Step 4: Simplify right side
    2,341.47x = 4,179,699.38
  5. Step 5: Solve for x
    x = 4,179,699.38/2,341.47
  6. Step 6: Final answer
    x = 1,785.07

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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.