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Finding the Fourth Proportional to 1,732.63, 2,392.01 and 1,144.87

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Solution

The fourth proportional to 1,732.63, 2,392.01 and 1,144.87 is: 1,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.63 : 2,392.01 = 1,144.87 : x
  2. Step 2: Convert to fraction form
    1,732.63/2,392.01 = 1,144.87/x
  3. Step 3: Cross multiply
    1,732.63x = 2,392.01 × 1,144.87
  4. Step 4: Simplify right side
    1,732.63x = 2,738,540.49
  5. Step 5: Solve for x
    x = 2,738,540.49/1,732.63
  6. Step 6: Final answer
    x = 1,580.57

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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.