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Finding the Fourth Proportional to 1,896.78, 2,846.80 and 923.98

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Solution

The fourth proportional to 1,896.78, 2,846.80 and 923.98 is: 1,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.78 : 2,846.80 = 923.98 : x
  2. Step 2: Convert to fraction form
    1,896.78/2,846.80 = 923.98/x
  3. Step 3: Cross multiply
    1,896.78x = 2,846.80 × 923.98
  4. Step 4: Simplify right side
    1,896.78x = 2,630,386.26
  5. Step 5: Solve for x
    x = 2,630,386.26/1,896.78
  6. Step 6: Final answer
    x = 1,386.76

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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.