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Finding the Fourth Proportional to 2,242.85, 3,096.29 and 1,580.27

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Solution

The fourth proportional to 2,242.85, 3,096.29 and 1,580.27 is: 2,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.85 : 3,096.29 = 1,580.27 : x
  2. Step 2: Convert to fraction form
    2,242.85/3,096.29 = 1,580.27/x
  3. Step 3: Cross multiply
    2,242.85x = 3,096.29 × 1,580.27
  4. Step 4: Simplify right side
    2,242.85x = 4,892,962.67
  5. Step 5: Solve for x
    x = 4,892,962.67/2,242.85
  6. Step 6: Final answer
    x = 2,181.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.