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Finding the Fourth Proportional to 2,690.83, 4,036.13 and 936.23

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Solution

The fourth proportional to 2,690.83, 4,036.13 and 936.23 is: 1,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.83 : 4,036.13 = 936.23 : x
  2. Step 2: Convert to fraction form
    2,690.83/4,036.13 = 936.23/x
  3. Step 3: Cross multiply
    2,690.83x = 4,036.13 × 936.23
  4. Step 4: Simplify right side
    2,690.83x = 3,778,721.13
  5. Step 5: Solve for x
    x = 3,778,721.13/2,690.83
  6. Step 6: Final answer
    x = 1,404.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.