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Finding the Fourth Proportional to 2,904.38, 4,007.78 and 1,645.54

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Solution

The fourth proportional to 2,904.38, 4,007.78 and 1,645.54 is: 2,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.38 : 4,007.78 = 1,645.54 : x
  2. Step 2: Convert to fraction form
    2,904.38/4,007.78 = 1,645.54/x
  3. Step 3: Cross multiply
    2,904.38x = 4,007.78 × 1,645.54
  4. Step 4: Simplify right side
    2,904.38x = 6,594,962.30
  5. Step 5: Solve for x
    x = 6,594,962.30/2,904.38
  6. Step 6: Final answer
    x = 2,270.70

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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.