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Finding the Fourth Proportional to 1,719.44, 2,372.84 and 933.49

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Solution

The fourth proportional to 1,719.44, 2,372.84 and 933.49 is: 1,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.44 : 2,372.84 = 933.49 : x
  2. Step 2: Convert to fraction form
    1,719.44/2,372.84 = 933.49/x
  3. Step 3: Cross multiply
    1,719.44x = 2,372.84 × 933.49
  4. Step 4: Simplify right side
    1,719.44x = 2,215,022.41
  5. Step 5: Solve for x
    x = 2,215,022.41/1,719.44
  6. Step 6: Final answer
    x = 1,288.22

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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.