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Finding the Fourth Proportional to 2,065.23, 2,850.19 and 1,279.13

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Solution

The fourth proportional to 2,065.23, 2,850.19 and 1,279.13 is: 1,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.23 : 2,850.19 = 1,279.13 : x
  2. Step 2: Convert to fraction form
    2,065.23/2,850.19 = 1,279.13/x
  3. Step 3: Cross multiply
    2,065.23x = 2,850.19 × 1,279.13
  4. Step 4: Simplify right side
    2,065.23x = 3,645,746.09
  5. Step 5: Solve for x
    x = 3,645,746.09/2,065.23
  6. Step 6: Final answer
    x = 1,765.30

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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.