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Finding the Fourth Proportional to 2,458.81, 3,392.91 and 1,463.90

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Solution

The fourth proportional to 2,458.81, 3,392.91 and 1,463.90 is: 2,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.81 : 3,392.91 = 1,463.90 : x
  2. Step 2: Convert to fraction form
    2,458.81/3,392.91 = 1,463.90/x
  3. Step 3: Cross multiply
    2,458.81x = 3,392.91 × 1,463.90
  4. Step 4: Simplify right side
    2,458.81x = 4,966,863.98
  5. Step 5: Solve for x
    x = 4,966,863.98/2,458.81
  6. Step 6: Final answer
    x = 2,020.03

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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.