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Finding the Fourth Proportional to 2,904.09, 4,007.67 and 1,645.15

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Solution

The fourth proportional to 2,904.09, 4,007.67 and 1,645.15 is: 2,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.09 : 4,007.67 = 1,645.15 : x
  2. Step 2: Convert to fraction form
    2,904.09/4,007.67 = 1,645.15/x
  3. Step 3: Cross multiply
    2,904.09x = 4,007.67 × 1,645.15
  4. Step 4: Simplify right side
    2,904.09x = 6,593,218.30
  5. Step 5: Solve for x
    x = 6,593,218.30/2,904.09
  6. Step 6: Final answer
    x = 2,270.32

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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.