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Finding the Fourth Proportional to 2,059.01, 3,081.67 and 1,646.21

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Solution

The fourth proportional to 2,059.01, 3,081.67 and 1,646.21 is: 2,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.01 : 3,081.67 = 1,646.21 : x
  2. Step 2: Convert to fraction form
    2,059.01/3,081.67 = 1,646.21/x
  3. Step 3: Cross multiply
    2,059.01x = 3,081.67 × 1,646.21
  4. Step 4: Simplify right side
    2,059.01x = 5,073,075.97
  5. Step 5: Solve for x
    x = 5,073,075.97/2,059.01
  6. Step 6: Final answer
    x = 2,463.84

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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.