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Finding the Fourth Proportional to 3,180.33, 4,771.18 and 989.23

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Solution

The fourth proportional to 3,180.33, 4,771.18 and 989.23 is: 1,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.33 : 4,771.18 = 989.23 : x
  2. Step 2: Convert to fraction form
    3,180.33/4,771.18 = 989.23/x
  3. Step 3: Cross multiply
    3,180.33x = 4,771.18 × 989.23
  4. Step 4: Simplify right side
    3,180.33x = 4,719,779.99
  5. Step 5: Solve for x
    x = 4,719,779.99/3,180.33
  6. Step 6: Final answer
    x = 1,484.05

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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.