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Finding the Fourth Proportional to 2,904.46, 4,007.48 and 1,645.23

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Solution

The fourth proportional to 2,904.46, 4,007.48 and 1,645.23 is: 2,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.46 : 4,007.48 = 1,645.23 : x
  2. Step 2: Convert to fraction form
    2,904.46/4,007.48 = 1,645.23/x
  3. Step 3: Cross multiply
    2,904.46x = 4,007.48 × 1,645.23
  4. Step 4: Simplify right side
    2,904.46x = 6,593,226.32
  5. Step 5: Solve for x
    x = 6,593,226.32/2,904.46
  6. Step 6: Final answer
    x = 2,270.04

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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.