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Finding the Fourth Proportional to 1,846.49, 2,544.48 and 1,823.49

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Solution

The fourth proportional to 1,846.49, 2,544.48 and 1,823.49 is: 2,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.49 : 2,544.48 = 1,823.49 : x
  2. Step 2: Convert to fraction form
    1,846.49/2,544.48 = 1,823.49/x
  3. Step 3: Cross multiply
    1,846.49x = 2,544.48 × 1,823.49
  4. Step 4: Simplify right side
    1,846.49x = 4,639,833.84
  5. Step 5: Solve for x
    x = 4,639,833.84/1,846.49
  6. Step 6: Final answer
    x = 2,512.79

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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.