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Finding the Fourth Proportional to 3,014.86, 4,521.77 and 823.07

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Solution

The fourth proportional to 3,014.86, 4,521.77 and 823.07 is: 1,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.86 : 4,521.77 = 823.07 : x
  2. Step 2: Convert to fraction form
    3,014.86/4,521.77 = 823.07/x
  3. Step 3: Cross multiply
    3,014.86x = 4,521.77 × 823.07
  4. Step 4: Simplify right side
    3,014.86x = 3,721,733.23
  5. Step 5: Solve for x
    x = 3,721,733.23/3,014.86
  6. Step 6: Final answer
    x = 1,234.46

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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.