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Finding the Fourth Proportional to 2,904.49, 4,008.24 and 1,578.22

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Solution

The fourth proportional to 2,904.49, 4,008.24 and 1,578.22 is: 2,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.49 : 4,008.24 = 1,578.22 : x
  2. Step 2: Convert to fraction form
    2,904.49/4,008.24 = 1,578.22/x
  3. Step 3: Cross multiply
    2,904.49x = 4,008.24 × 1,578.22
  4. Step 4: Simplify right side
    2,904.49x = 6,325,884.53
  5. Step 5: Solve for x
    x = 6,325,884.53/2,904.49
  6. Step 6: Final answer
    x = 2,177.97

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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.