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Finding the Fourth Proportional to 1,467.85, 2,023.97 and 936.02

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Solution

The fourth proportional to 1,467.85, 2,023.97 and 936.02 is: 1,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.85 : 2,023.97 = 936.02 : x
  2. Step 2: Convert to fraction form
    1,467.85/2,023.97 = 936.02/x
  3. Step 3: Cross multiply
    1,467.85x = 2,023.97 × 936.02
  4. Step 4: Simplify right side
    1,467.85x = 1,894,476.40
  5. Step 5: Solve for x
    x = 1,894,476.40/1,467.85
  6. Step 6: Final answer
    x = 1,290.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.