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Finding the Fourth Proportional to 3,014.51, 4,520.93 and 823.32

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Solution

The fourth proportional to 3,014.51, 4,520.93 and 823.32 is: 1,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.51 : 4,520.93 = 823.32 : x
  2. Step 2: Convert to fraction form
    3,014.51/4,520.93 = 823.32/x
  3. Step 3: Cross multiply
    3,014.51x = 4,520.93 × 823.32
  4. Step 4: Simplify right side
    3,014.51x = 3,722,167.97
  5. Step 5: Solve for x
    x = 3,722,167.97/3,014.51
  6. Step 6: Final answer
    x = 1,234.75

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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.