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Finding the Fourth Proportional to 2,904, 4,007.61 and 1,662

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Solution

The fourth proportional to 2,904, 4,007.61 and 1,662 is: 2,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904 : 4,007.61 = 1,662 : x
  2. Step 2: Convert to fraction form
    2,904/4,007.61 = 1,662/x
  3. Step 3: Cross multiply
    2,904x = 4,007.61 × 1,662
  4. Step 4: Simplify right side
    2,904x = 6,660,647.82
  5. Step 5: Solve for x
    x = 6,660,647.82/2,904
  6. Step 6: Final answer
    x = 2,293.61

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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.