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Finding the Fourth Proportional to 2,189.04, 3,283.02 and 650.04

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Solution

The fourth proportional to 2,189.04, 3,283.02 and 650.04 is: 974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.04 : 3,283.02 = 650.04 : x
  2. Step 2: Convert to fraction form
    2,189.04/3,283.02 = 650.04/x
  3. Step 3: Cross multiply
    2,189.04x = 3,283.02 × 650.04
  4. Step 4: Simplify right side
    2,189.04x = 2,134,094.32
  5. Step 5: Solve for x
    x = 2,134,094.32/2,189.04
  6. Step 6: Final answer
    x = 974.90

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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.