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Finding the Fourth Proportional to 2,968.66, 4,096.09 and 1,773.33

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Solution

The fourth proportional to 2,968.66, 4,096.09 and 1,773.33 is: 2,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.66 : 4,096.09 = 1,773.33 : x
  2. Step 2: Convert to fraction form
    2,968.66/4,096.09 = 1,773.33/x
  3. Step 3: Cross multiply
    2,968.66x = 4,096.09 × 1,773.33
  4. Step 4: Simplify right side
    2,968.66x = 7,263,719.28
  5. Step 5: Solve for x
    x = 7,263,719.28/2,968.66
  6. Step 6: Final answer
    x = 2,446.80

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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.