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Finding the Fourth Proportional to 1,367.66, 2,051.48 and 341.66

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Solution

The fourth proportional to 1,367.66, 2,051.48 and 341.66 is: 512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.66 : 2,051.48 = 341.66 : x
  2. Step 2: Convert to fraction form
    1,367.66/2,051.48 = 341.66/x
  3. Step 3: Cross multiply
    1,367.66x = 2,051.48 × 341.66
  4. Step 4: Simplify right side
    1,367.66x = 700,908.66
  5. Step 5: Solve for x
    x = 700,908.66/1,367.66
  6. Step 6: Final answer
    x = 512.49

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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.