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Finding the Fourth Proportional to 3,014.14, 4,521.15 and 823.06

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Solution

The fourth proportional to 3,014.14, 4,521.15 and 823.06 is: 1,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.14 : 4,521.15 = 823.06 : x
  2. Step 2: Convert to fraction form
    3,014.14/4,521.15 = 823.06/x
  3. Step 3: Cross multiply
    3,014.14x = 4,521.15 × 823.06
  4. Step 4: Simplify right side
    3,014.14x = 3,721,177.72
  5. Step 5: Solve for x
    x = 3,721,177.72/3,014.14
  6. Step 6: Final answer
    x = 1,234.57

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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.