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Finding the Fourth Proportional to 1,927.28, 2,890.56 and 694.64

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Solution

The fourth proportional to 1,927.28, 2,890.56 and 694.64 is: 1,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.28 : 2,890.56 = 694.64 : x
  2. Step 2: Convert to fraction form
    1,927.28/2,890.56 = 694.64/x
  3. Step 3: Cross multiply
    1,927.28x = 2,890.56 × 694.64
  4. Step 4: Simplify right side
    1,927.28x = 2,007,898.60
  5. Step 5: Solve for x
    x = 2,007,898.60/1,927.28
  6. Step 6: Final answer
    x = 1,041.83

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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.