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Finding the Fourth Proportional to 2,128.50, 3,193.02 and 589.50

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Solution

The fourth proportional to 2,128.50, 3,193.02 and 589.50 is: 884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.50 : 3,193.02 = 589.50 : x
  2. Step 2: Convert to fraction form
    2,128.50/3,193.02 = 589.50/x
  3. Step 3: Cross multiply
    2,128.50x = 3,193.02 × 589.50
  4. Step 4: Simplify right side
    2,128.50x = 1,882,285.29
  5. Step 5: Solve for x
    x = 1,882,285.29/2,128.50
  6. Step 6: Final answer
    x = 884.32

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Double scale
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1.5x scale

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.