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Finding the Fourth Proportional to 3,122.67, 4,684.80 and 1,042.67

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Solution

The fourth proportional to 3,122.67, 4,684.80 and 1,042.67 is: 1,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.67 : 4,684.80 = 1,042.67 : x
  2. Step 2: Convert to fraction form
    3,122.67/4,684.80 = 1,042.67/x
  3. Step 3: Cross multiply
    3,122.67x = 4,684.80 × 1,042.67
  4. Step 4: Simplify right side
    3,122.67x = 4,884,676.99
  5. Step 5: Solve for x
    x = 4,884,676.99/3,122.67
  6. Step 6: Final answer
    x = 1,564.26

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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.