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Finding the Fourth Proportional to 1,926.85, 2,890.32 and 694.36

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Solution

The fourth proportional to 1,926.85, 2,890.32 and 694.36 is: 1,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.85 : 2,890.32 = 694.36 : x
  2. Step 2: Convert to fraction form
    1,926.85/2,890.32 = 694.36/x
  3. Step 3: Cross multiply
    1,926.85x = 2,890.32 × 694.36
  4. Step 4: Simplify right side
    1,926.85x = 2,006,922.60
  5. Step 5: Solve for x
    x = 2,006,922.60/1,926.85
  6. Step 6: Final answer
    x = 1,041.56

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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.