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Finding the Fourth Proportional to 3,124.22, 4,686.33 and 932.99

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Solution

The fourth proportional to 3,124.22, 4,686.33 and 932.99 is: 1,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.22 : 4,686.33 = 932.99 : x
  2. Step 2: Convert to fraction form
    3,124.22/4,686.33 = 932.99/x
  3. Step 3: Cross multiply
    3,124.22x = 4,686.33 × 932.99
  4. Step 4: Simplify right side
    3,124.22x = 4,372,299.03
  5. Step 5: Solve for x
    x = 4,372,299.03/3,124.22
  6. Step 6: Final answer
    x = 1,399.49

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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.