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Finding the Fourth Proportional to 1,842.75, 2,746.51 and 1,738.94

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Solution

The fourth proportional to 1,842.75, 2,746.51 and 1,738.94 is: 2,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.75 : 2,746.51 = 1,738.94 : x
  2. Step 2: Convert to fraction form
    1,842.75/2,746.51 = 1,738.94/x
  3. Step 3: Cross multiply
    1,842.75x = 2,746.51 × 1,738.94
  4. Step 4: Simplify right side
    1,842.75x = 4,775,998.02
  5. Step 5: Solve for x
    x = 4,775,998.02/1,842.75
  6. Step 6: Final answer
    x = 2,591.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.