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Finding the Fourth Proportional to 3,014.70, 4,521.51 and 823.59

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Solution

The fourth proportional to 3,014.70, 4,521.51 and 823.59 is: 1,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.70 : 4,521.51 = 823.59 : x
  2. Step 2: Convert to fraction form
    3,014.70/4,521.51 = 823.59/x
  3. Step 3: Cross multiply
    3,014.70x = 4,521.51 × 823.59
  4. Step 4: Simplify right side
    3,014.70x = 3,723,870.42
  5. Step 5: Solve for x
    x = 3,723,870.42/3,014.70
  6. Step 6: Final answer
    x = 1,235.24

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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.