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Finding the Fourth Proportional to 2,463.48, 3,400.38 and 2,381.40

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Solution

The fourth proportional to 2,463.48, 3,400.38 and 2,381.40 is: 3,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.48 : 3,400.38 = 2,381.40 : x
  2. Step 2: Convert to fraction form
    2,463.48/3,400.38 = 2,381.40/x
  3. Step 3: Cross multiply
    2,463.48x = 3,400.38 × 2,381.40
  4. Step 4: Simplify right side
    2,463.48x = 8,097,664.93
  5. Step 5: Solve for x
    x = 8,097,664.93/2,463.48
  6. Step 6: Final answer
    x = 3,287.08

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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.