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Finding the Fourth Proportional to 2,609.29, 3,598.07 and 2,344.80

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Solution

The fourth proportional to 2,609.29, 3,598.07 and 2,344.80 is: 3,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.29 : 3,598.07 = 2,344.80 : x
  2. Step 2: Convert to fraction form
    2,609.29/3,598.07 = 2,344.80/x
  3. Step 3: Cross multiply
    2,609.29x = 3,598.07 × 2,344.80
  4. Step 4: Simplify right side
    2,609.29x = 8,436,749.26
  5. Step 5: Solve for x
    x = 8,436,749.26/2,609.29
  6. Step 6: Final answer
    x = 3,233.35

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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.