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Finding the Fourth Proportional to 3,014.64, 4,521.90 and 823.56

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Solution

The fourth proportional to 3,014.64, 4,521.90 and 823.56 is: 1,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.64 : 4,521.90 = 823.56 : x
  2. Step 2: Convert to fraction form
    3,014.64/4,521.90 = 823.56/x
  3. Step 3: Cross multiply
    3,014.64x = 4,521.90 × 823.56
  4. Step 4: Simplify right side
    3,014.64x = 3,724,055.96
  5. Step 5: Solve for x
    x = 3,724,055.96/3,014.64
  6. Step 6: Final answer
    x = 1,235.32

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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.