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Finding the Fourth Proportional to 2,072.06, 3,105.93 and 840.32

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Solution

The fourth proportional to 2,072.06, 3,105.93 and 840.32 is: 1,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.06 : 3,105.93 = 840.32 : x
  2. Step 2: Convert to fraction form
    2,072.06/3,105.93 = 840.32/x
  3. Step 3: Cross multiply
    2,072.06x = 3,105.93 × 840.32
  4. Step 4: Simplify right side
    2,072.06x = 2,609,975.10
  5. Step 5: Solve for x
    x = 2,609,975.10/2,072.06
  6. Step 6: Final answer
    x = 1,259.60

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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.