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Finding the Fourth Proportional to 1,367.74, 2,051.68 and 393.81

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Solution

The fourth proportional to 1,367.74, 2,051.68 and 393.81 is: 590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.74 : 2,051.68 = 393.81 : x
  2. Step 2: Convert to fraction form
    1,367.74/2,051.68 = 393.81/x
  3. Step 3: Cross multiply
    1,367.74x = 2,051.68 × 393.81
  4. Step 4: Simplify right side
    1,367.74x = 807,972.10
  5. Step 5: Solve for x
    x = 807,972.10/1,367.74
  6. Step 6: Final answer
    x = 590.74

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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.