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Finding the Fourth Proportional to 1,771.79, 2,446.04 and 1,584.83

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Solution

The fourth proportional to 1,771.79, 2,446.04 and 1,584.83 is: 2,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.79 : 2,446.04 = 1,584.83 : x
  2. Step 2: Convert to fraction form
    1,771.79/2,446.04 = 1,584.83/x
  3. Step 3: Cross multiply
    1,771.79x = 2,446.04 × 1,584.83
  4. Step 4: Simplify right side
    1,771.79x = 3,876,537.42
  5. Step 5: Solve for x
    x = 3,876,537.42/1,771.79
  6. Step 6: Final answer
    x = 2,187.93

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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.