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Finding the Fourth Proportional to 1,341.71, 2,012.63 and 367.82

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Solution

The fourth proportional to 1,341.71, 2,012.63 and 367.82 is: 551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.71 : 2,012.63 = 367.82 : x
  2. Step 2: Convert to fraction form
    1,341.71/2,012.63 = 367.82/x
  3. Step 3: Cross multiply
    1,341.71x = 2,012.63 × 367.82
  4. Step 4: Simplify right side
    1,341.71x = 740,273.66
  5. Step 5: Solve for x
    x = 740,273.66/1,341.71
  6. Step 6: Final answer
    x = 551.74

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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.