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Finding the Fourth Proportional to 2,059.01, 3,072.69 and 1,840.31

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Solution

The fourth proportional to 2,059.01, 3,072.69 and 1,840.31 is: 2,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.01 : 3,072.69 = 1,840.31 : x
  2. Step 2: Convert to fraction form
    2,059.01/3,072.69 = 1,840.31/x
  3. Step 3: Cross multiply
    2,059.01x = 3,072.69 × 1,840.31
  4. Step 4: Simplify right side
    2,059.01x = 5,654,692.93
  5. Step 5: Solve for x
    x = 5,654,692.93/2,059.01
  6. Step 6: Final answer
    x = 2,746.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.