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Finding the Fourth Proportional to 1,794.89, 2,474.12 and 1,644.23

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Solution

The fourth proportional to 1,794.89, 2,474.12 and 1,644.23 is: 2,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.89 : 2,474.12 = 1,644.23 : x
  2. Step 2: Convert to fraction form
    1,794.89/2,474.12 = 1,644.23/x
  3. Step 3: Cross multiply
    1,794.89x = 2,474.12 × 1,644.23
  4. Step 4: Simplify right side
    1,794.89x = 4,068,014.07
  5. Step 5: Solve for x
    x = 4,068,014.07/1,794.89
  6. Step 6: Final answer
    x = 2,266.45

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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.