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Finding the Fourth Proportional to 1,889.56, 2,834.94 and 1,023.40

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Solution

The fourth proportional to 1,889.56, 2,834.94 and 1,023.40 is: 1,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.56 : 2,834.94 = 1,023.40 : x
  2. Step 2: Convert to fraction form
    1,889.56/2,834.94 = 1,023.40/x
  3. Step 3: Cross multiply
    1,889.56x = 2,834.94 × 1,023.40
  4. Step 4: Simplify right side
    1,889.56x = 2,901,277.60
  5. Step 5: Solve for x
    x = 2,901,277.60/1,889.56
  6. Step 6: Final answer
    x = 1,535.42

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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.