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Finding the Fourth Proportional to 2,185.79, 3,278.72 and 1,218.04

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Solution

The fourth proportional to 2,185.79, 3,278.72 and 1,218.04 is: 1,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.79 : 3,278.72 = 1,218.04 : x
  2. Step 2: Convert to fraction form
    2,185.79/3,278.72 = 1,218.04/x
  3. Step 3: Cross multiply
    2,185.79x = 3,278.72 × 1,218.04
  4. Step 4: Simplify right side
    2,185.79x = 3,993,606.02
  5. Step 5: Solve for x
    x = 3,993,606.02/2,185.79
  6. Step 6: Final answer
    x = 1,827.08

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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.