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Finding the Fourth Proportional to 1,463.40, 2,195.10 and 367.74

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Solution

The fourth proportional to 1,463.40, 2,195.10 and 367.74 is: 551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.40 : 2,195.10 = 367.74 : x
  2. Step 2: Convert to fraction form
    1,463.40/2,195.10 = 367.74/x
  3. Step 3: Cross multiply
    1,463.40x = 2,195.10 × 367.74
  4. Step 4: Simplify right side
    1,463.40x = 807,226.07
  5. Step 5: Solve for x
    x = 807,226.07/1,463.40
  6. Step 6: Final answer
    x = 551.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.