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Finding the Fourth Proportional to 2,609.79, 3,580.06 and 2,468.56

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Solution

The fourth proportional to 2,609.79, 3,580.06 and 2,468.56 is: 3,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.79 : 3,580.06 = 2,468.56 : x
  2. Step 2: Convert to fraction form
    2,609.79/3,580.06 = 2,468.56/x
  3. Step 3: Cross multiply
    2,609.79x = 3,580.06 × 2,468.56
  4. Step 4: Simplify right side
    2,609.79x = 8,837,592.91
  5. Step 5: Solve for x
    x = 8,837,592.91/2,609.79
  6. Step 6: Final answer
    x = 3,386.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.