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Finding the Fourth Proportional to 2,904.26, 4,007.78 and 1,645.26

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Solution

The fourth proportional to 2,904.26, 4,007.78 and 1,645.26 is: 2,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.26 : 4,007.78 = 1,645.26 : x
  2. Step 2: Convert to fraction form
    2,904.26/4,007.78 = 1,645.26/x
  3. Step 3: Cross multiply
    2,904.26x = 4,007.78 × 1,645.26
  4. Step 4: Simplify right side
    2,904.26x = 6,593,840.12
  5. Step 5: Solve for x
    x = 6,593,840.12/2,904.26
  6. Step 6: Final answer
    x = 2,270.40

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1.5x scale

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.