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Finding the Fourth Proportional to 2,783.96, 4,176.21 and 1,029.42

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Solution

The fourth proportional to 2,783.96, 4,176.21 and 1,029.42 is: 1,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.96 : 4,176.21 = 1,029.42 : x
  2. Step 2: Convert to fraction form
    2,783.96/4,176.21 = 1,029.42/x
  3. Step 3: Cross multiply
    2,783.96x = 4,176.21 × 1,029.42
  4. Step 4: Simplify right side
    2,783.96x = 4,299,074.10
  5. Step 5: Solve for x
    x = 4,299,074.10/2,783.96
  6. Step 6: Final answer
    x = 1,544.23

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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.