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Finding the Fourth Proportional to 2,463.78, 3,400.02 and 1,580.10

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Solution

The fourth proportional to 2,463.78, 3,400.02 and 1,580.10 is: 2,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.78 : 3,400.02 = 1,580.10 : x
  2. Step 2: Convert to fraction form
    2,463.78/3,400.02 = 1,580.10/x
  3. Step 3: Cross multiply
    2,463.78x = 3,400.02 × 1,580.10
  4. Step 4: Simplify right side
    2,463.78x = 5,372,371.60
  5. Step 5: Solve for x
    x = 5,372,371.60/2,463.78
  6. Step 6: Final answer
    x = 2,180.54

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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.