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Finding the Fourth Proportional to 1,940.94, 2,676.65 and 1,497.87

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Solution

The fourth proportional to 1,940.94, 2,676.65 and 1,497.87 is: 2,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.94 : 2,676.65 = 1,497.87 : x
  2. Step 2: Convert to fraction form
    1,940.94/2,676.65 = 1,497.87/x
  3. Step 3: Cross multiply
    1,940.94x = 2,676.65 × 1,497.87
  4. Step 4: Simplify right side
    1,940.94x = 4,009,266.25
  5. Step 5: Solve for x
    x = 4,009,266.25/1,940.94
  6. Step 6: Final answer
    x = 2,065.63

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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.