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Finding the Fourth Proportional to 2,771.18, 4,156.35 and 922.25

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Solution

The fourth proportional to 2,771.18, 4,156.35 and 922.25 is: 1,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.18 : 4,156.35 = 922.25 : x
  2. Step 2: Convert to fraction form
    2,771.18/4,156.35 = 922.25/x
  3. Step 3: Cross multiply
    2,771.18x = 4,156.35 × 922.25
  4. Step 4: Simplify right side
    2,771.18x = 3,833,173.01
  5. Step 5: Solve for x
    x = 3,833,173.01/2,771.18
  6. Step 6: Final answer
    x = 1,383.23

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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.