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Finding the Fourth Proportional to 2,474.34, 3,416.18 and 2,208.32

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Solution

The fourth proportional to 2,474.34, 3,416.18 and 2,208.32 is: 3,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.34 : 3,416.18 = 2,208.32 : x
  2. Step 2: Convert to fraction form
    2,474.34/3,416.18 = 2,208.32/x
  3. Step 3: Cross multiply
    2,474.34x = 3,416.18 × 2,208.32
  4. Step 4: Simplify right side
    2,474.34x = 7,544,018.62
  5. Step 5: Solve for x
    x = 7,544,018.62/2,474.34
  6. Step 6: Final answer
    x = 3,048.90

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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.