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Finding the Fourth Proportional to 2,463.60, 3,400.49 and 1,612.98

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Solution

The fourth proportional to 2,463.60, 3,400.49 and 1,612.98 is: 2,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.60 : 3,400.49 = 1,612.98 : x
  2. Step 2: Convert to fraction form
    2,463.60/3,400.49 = 1,612.98/x
  3. Step 3: Cross multiply
    2,463.60x = 3,400.49 × 1,612.98
  4. Step 4: Simplify right side
    2,463.60x = 5,484,922.36
  5. Step 5: Solve for x
    x = 5,484,922.36/2,463.60
  6. Step 6: Final answer
    x = 2,226.39

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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.