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Finding the Fourth Proportional to 3,015.35, 4,522.29 and 823.55

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Solution

The fourth proportional to 3,015.35, 4,522.29 and 823.55 is: 1,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.35 : 4,522.29 = 823.55 : x
  2. Step 2: Convert to fraction form
    3,015.35/4,522.29 = 823.55/x
  3. Step 3: Cross multiply
    3,015.35x = 4,522.29 × 823.55
  4. Step 4: Simplify right side
    3,015.35x = 3,724,331.93
  5. Step 5: Solve for x
    x = 3,724,331.93/3,015.35
  6. Step 6: Final answer
    x = 1,235.12

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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.