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Finding the Fourth Proportional to 2,771.46, 4,156.29 and 1,016.22

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Solution

The fourth proportional to 2,771.46, 4,156.29 and 1,016.22 is: 1,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.46 : 4,156.29 = 1,016.22 : x
  2. Step 2: Convert to fraction form
    2,771.46/4,156.29 = 1,016.22/x
  3. Step 3: Cross multiply
    2,771.46x = 4,156.29 × 1,016.22
  4. Step 4: Simplify right side
    2,771.46x = 4,223,705.02
  5. Step 5: Solve for x
    x = 4,223,705.02/2,771.46
  6. Step 6: Final answer
    x = 1,524.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.