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Finding the Fourth Proportional to 2,879, 3,971.40 and 1,884.05

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Solution

The fourth proportional to 2,879, 3,971.40 and 1,884.05 is: 2,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879 : 3,971.40 = 1,884.05 : x
  2. Step 2: Convert to fraction form
    2,879/3,971.40 = 1,884.05/x
  3. Step 3: Cross multiply
    2,879x = 3,971.40 × 1,884.05
  4. Step 4: Simplify right side
    2,879x = 7,482,316.17
  5. Step 5: Solve for x
    x = 7,482,316.17/2,879
  6. Step 6: Final answer
    x = 2,598.93

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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.