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Finding the Fourth Proportional to 2,462.81, 3,398.73 and 1,400.54

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Solution

The fourth proportional to 2,462.81, 3,398.73 and 1,400.54 is: 1,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.81 : 3,398.73 = 1,400.54 : x
  2. Step 2: Convert to fraction form
    2,462.81/3,398.73 = 1,400.54/x
  3. Step 3: Cross multiply
    2,462.81x = 3,398.73 × 1,400.54
  4. Step 4: Simplify right side
    2,462.81x = 4,760,057.31
  5. Step 5: Solve for x
    x = 4,760,057.31/2,462.81
  6. Step 6: Final answer
    x = 1,932.77

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1.5x scale

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.