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Finding the Fourth Proportional to 2,842.67, 4,261.38 and 2,609.16

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Solution

The fourth proportional to 2,842.67, 4,261.38 and 2,609.16 is: 3,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.67 : 4,261.38 = 2,609.16 : x
  2. Step 2: Convert to fraction form
    2,842.67/4,261.38 = 2,609.16/x
  3. Step 3: Cross multiply
    2,842.67x = 4,261.38 × 2,609.16
  4. Step 4: Simplify right side
    2,842.67x = 11,118,622.24
  5. Step 5: Solve for x
    x = 11,118,622.24/2,842.67
  6. Step 6: Final answer
    x = 3,911.34

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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.