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Finding the Fourth Proportional to 1,786.09, 2,459.19 and 1,622.07

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Solution

The fourth proportional to 1,786.09, 2,459.19 and 1,622.07 is: 2,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.09 : 2,459.19 = 1,622.07 : x
  2. Step 2: Convert to fraction form
    1,786.09/2,459.19 = 1,622.07/x
  3. Step 3: Cross multiply
    1,786.09x = 2,459.19 × 1,622.07
  4. Step 4: Simplify right side
    1,786.09x = 3,988,978.32
  5. Step 5: Solve for x
    x = 3,988,978.32/1,786.09
  6. Step 6: Final answer
    x = 2,233.36

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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.