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Finding the Fourth Proportional to 1,827.44, 2,738.76 and 1,592

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Solution

The fourth proportional to 1,827.44, 2,738.76 and 1,592 is: 2,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.44 : 2,738.76 = 1,592 : x
  2. Step 2: Convert to fraction form
    1,827.44/2,738.76 = 1,592/x
  3. Step 3: Cross multiply
    1,827.44x = 2,738.76 × 1,592
  4. Step 4: Simplify right side
    1,827.44x = 4,360,105.92
  5. Step 5: Solve for x
    x = 4,360,105.92/1,827.44
  6. Step 6: Final answer
    x = 2,385.91

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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.