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Finding the Fourth Proportional to 2,055.65, 3,082.93 and 1,189.96

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Solution

The fourth proportional to 2,055.65, 3,082.93 and 1,189.96 is: 1,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.65 : 3,082.93 = 1,189.96 : x
  2. Step 2: Convert to fraction form
    2,055.65/3,082.93 = 1,189.96/x
  3. Step 3: Cross multiply
    2,055.65x = 3,082.93 × 1,189.96
  4. Step 4: Simplify right side
    2,055.65x = 3,668,552.70
  5. Step 5: Solve for x
    x = 3,668,552.70/2,055.65
  6. Step 6: Final answer
    x = 1,784.62

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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.