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Finding the Fourth Proportional to 2,056.02, 3,085.26 and 823.26

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Solution

The fourth proportional to 2,056.02, 3,085.26 and 823.26 is: 1,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.02 : 3,085.26 = 823.26 : x
  2. Step 2: Convert to fraction form
    2,056.02/3,085.26 = 823.26/x
  3. Step 3: Cross multiply
    2,056.02x = 3,085.26 × 823.26
  4. Step 4: Simplify right side
    2,056.02x = 2,539,971.15
  5. Step 5: Solve for x
    x = 2,539,971.15/2,056.02
  6. Step 6: Final answer
    x = 1,235.38

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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.