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Finding the Fourth Proportional to 1,884.10, 2,822.10 and 1,641.10

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Solution

The fourth proportional to 1,884.10, 2,822.10 and 1,641.10 is: 2,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.10 : 2,822.10 = 1,641.10 : x
  2. Step 2: Convert to fraction form
    1,884.10/2,822.10 = 1,641.10/x
  3. Step 3: Cross multiply
    1,884.10x = 2,822.10 × 1,641.10
  4. Step 4: Simplify right side
    1,884.10x = 4,631,348.31
  5. Step 5: Solve for x
    x = 4,631,348.31/1,884.10
  6. Step 6: Final answer
    x = 2,458.12

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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.