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Finding the Fourth Proportional to 1,463.94, 2,197.64 and 1,156

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Solution

The fourth proportional to 1,463.94, 2,197.64 and 1,156 is: 1,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.94 : 2,197.64 = 1,156 : x
  2. Step 2: Convert to fraction form
    1,463.94/2,197.64 = 1,156/x
  3. Step 3: Cross multiply
    1,463.94x = 2,197.64 × 1,156
  4. Step 4: Simplify right side
    1,463.94x = 2,540,471.84
  5. Step 5: Solve for x
    x = 2,540,471.84/1,463.94
  6. Step 6: Final answer
    x = 1,735.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.