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Finding the Fourth Proportional to 1,367.63, 2,051.44 and 341.63

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Solution

The fourth proportional to 1,367.63, 2,051.44 and 341.63 is: 512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.63 : 2,051.44 = 341.63 : x
  2. Step 2: Convert to fraction form
    1,367.63/2,051.44 = 341.63/x
  3. Step 3: Cross multiply
    1,367.63x = 2,051.44 × 341.63
  4. Step 4: Simplify right side
    1,367.63x = 700,823.19
  5. Step 5: Solve for x
    x = 700,823.19/1,367.63
  6. Step 6: Final answer
    x = 512.44

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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.