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Finding the Fourth Proportional to 2,128.94, 3,193.44 and 589.94

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Solution

The fourth proportional to 2,128.94, 3,193.44 and 589.94 is: 884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.94 : 3,193.44 = 589.94 : x
  2. Step 2: Convert to fraction form
    2,128.94/3,193.44 = 589.94/x
  3. Step 3: Cross multiply
    2,128.94x = 3,193.44 × 589.94
  4. Step 4: Simplify right side
    2,128.94x = 1,883,937.99
  5. Step 5: Solve for x
    x = 1,883,937.99/2,128.94
  6. Step 6: Final answer
    x = 884.92

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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.