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Finding the Fourth Proportional to 1,927.56, 2,890.57 and 694.54

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Solution

The fourth proportional to 1,927.56, 2,890.57 and 694.54 is: 1,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.56 : 2,890.57 = 694.54 : x
  2. Step 2: Convert to fraction form
    1,927.56/2,890.57 = 694.54/x
  3. Step 3: Cross multiply
    1,927.56x = 2,890.57 × 694.54
  4. Step 4: Simplify right side
    1,927.56x = 2,007,602.03
  5. Step 5: Solve for x
    x = 2,007,602.03/1,927.56
  6. Step 6: Final answer
    x = 1,041.53

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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.