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Finding the Fourth Proportional to 2,609, 3,921.70 and 2,412.17

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Solution

The fourth proportional to 2,609, 3,921.70 and 2,412.17 is: 3,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609 : 3,921.70 = 2,412.17 : x
  2. Step 2: Convert to fraction form
    2,609/3,921.70 = 2,412.17/x
  3. Step 3: Cross multiply
    2,609x = 3,921.70 × 2,412.17
  4. Step 4: Simplify right side
    2,609x = 9,459,807.09
  5. Step 5: Solve for x
    x = 9,459,807.09/2,609
  6. Step 6: Final answer
    x = 3,625.84

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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.