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Finding the Fourth Proportional to 2,036.17, 2,809.42 and 1,196.81

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Solution

The fourth proportional to 2,036.17, 2,809.42 and 1,196.81 is: 1,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.17 : 2,809.42 = 1,196.81 : x
  2. Step 2: Convert to fraction form
    2,036.17/2,809.42 = 1,196.81/x
  3. Step 3: Cross multiply
    2,036.17x = 2,809.42 × 1,196.81
  4. Step 4: Simplify right side
    2,036.17x = 3,362,327.90
  5. Step 5: Solve for x
    x = 3,362,327.90/2,036.17
  6. Step 6: Final answer
    x = 1,651.30

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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.