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Finding the Fourth Proportional to 2,829.74, 4,245.21 and 1,074.67

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Solution

The fourth proportional to 2,829.74, 4,245.21 and 1,074.67 is: 1,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.74 : 4,245.21 = 1,074.67 : x
  2. Step 2: Convert to fraction form
    2,829.74/4,245.21 = 1,074.67/x
  3. Step 3: Cross multiply
    2,829.74x = 4,245.21 × 1,074.67
  4. Step 4: Simplify right side
    2,829.74x = 4,562,189.22
  5. Step 5: Solve for x
    x = 4,562,189.22/2,829.74
  6. Step 6: Final answer
    x = 1,612.23

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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.