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Finding the Fourth Proportional to 2,074.53, 3,111.21 and 824.57

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Solution

The fourth proportional to 2,074.53, 3,111.21 and 824.57 is: 1,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.53 : 3,111.21 = 824.57 : x
  2. Step 2: Convert to fraction form
    2,074.53/3,111.21 = 824.57/x
  3. Step 3: Cross multiply
    2,074.53x = 3,111.21 × 824.57
  4. Step 4: Simplify right side
    2,074.53x = 2,565,396.94
  5. Step 5: Solve for x
    x = 2,565,396.94/2,074.53
  6. Step 6: Final answer
    x = 1,236.61

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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.