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Finding the Fourth Proportional to 2,904.30, 4,007.49 and 1,645.28

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Solution

The fourth proportional to 2,904.30, 4,007.49 and 1,645.28 is: 2,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.30 : 4,007.49 = 1,645.28 : x
  2. Step 2: Convert to fraction form
    2,904.30/4,007.49 = 1,645.28/x
  3. Step 3: Cross multiply
    2,904.30x = 4,007.49 × 1,645.28
  4. Step 4: Simplify right side
    2,904.30x = 6,593,443.15
  5. Step 5: Solve for x
    x = 6,593,443.15/2,904.30
  6. Step 6: Final answer
    x = 2,270.24

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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.