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Finding the Fourth Proportional to 2,443.54, 3,371.10 and 1,698.10

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Solution

The fourth proportional to 2,443.54, 3,371.10 and 1,698.10 is: 2,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.54 : 3,371.10 = 1,698.10 : x
  2. Step 2: Convert to fraction form
    2,443.54/3,371.10 = 1,698.10/x
  3. Step 3: Cross multiply
    2,443.54x = 3,371.10 × 1,698.10
  4. Step 4: Simplify right side
    2,443.54x = 5,724,464.91
  5. Step 5: Solve for x
    x = 5,724,464.91/2,443.54
  6. Step 6: Final answer
    x = 2,342.69

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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.