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Finding the Fourth Proportional to 1,796.75, 2,478.13 and 1,575.33

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Solution

The fourth proportional to 1,796.75, 2,478.13 and 1,575.33 is: 2,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.75 : 2,478.13 = 1,575.33 : x
  2. Step 2: Convert to fraction form
    1,796.75/2,478.13 = 1,575.33/x
  3. Step 3: Cross multiply
    1,796.75x = 2,478.13 × 1,575.33
  4. Step 4: Simplify right side
    1,796.75x = 3,903,872.53
  5. Step 5: Solve for x
    x = 3,903,872.53/1,796.75
  6. Step 6: Final answer
    x = 2,172.74

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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.