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Finding the Fourth Proportional to 3,074.72, 4,612.23 and 883.78

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Solution

The fourth proportional to 3,074.72, 4,612.23 and 883.78 is: 1,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.72 : 4,612.23 = 883.78 : x
  2. Step 2: Convert to fraction form
    3,074.72/4,612.23 = 883.78/x
  3. Step 3: Cross multiply
    3,074.72x = 4,612.23 × 883.78
  4. Step 4: Simplify right side
    3,074.72x = 4,076,185.10
  5. Step 5: Solve for x
    x = 4,076,185.10/3,074.72
  6. Step 6: Final answer
    x = 1,325.71

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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.