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Finding the Fourth Proportional to 2,904.38, 4,007.93 and 1,578.05

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Solution

The fourth proportional to 2,904.38, 4,007.93 and 1,578.05 is: 2,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.38 : 4,007.93 = 1,578.05 : x
  2. Step 2: Convert to fraction form
    2,904.38/4,007.93 = 1,578.05/x
  3. Step 3: Cross multiply
    2,904.38x = 4,007.93 × 1,578.05
  4. Step 4: Simplify right side
    2,904.38x = 6,324,706.05
  5. Step 5: Solve for x
    x = 6,324,706.05/2,904.38
  6. Step 6: Final answer
    x = 2,177.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.