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Finding the Fourth Proportional to 3,014.64, 4,521.60 and 823.44

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Solution

The fourth proportional to 3,014.64, 4,521.60 and 823.44 is: 1,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.64 : 4,521.60 = 823.44 : x
  2. Step 2: Convert to fraction form
    3,014.64/4,521.60 = 823.44/x
  3. Step 3: Cross multiply
    3,014.64x = 4,521.60 × 823.44
  4. Step 4: Simplify right side
    3,014.64x = 3,723,266.30
  5. Step 5: Solve for x
    x = 3,723,266.30/3,014.64
  6. Step 6: Final answer
    x = 1,235.06

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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.