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Finding the Fourth Proportional to 2,636.56, 3,955.53 and 993.58

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Solution

The fourth proportional to 2,636.56, 3,955.53 and 993.58 is: 1,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.56 : 3,955.53 = 993.58 : x
  2. Step 2: Convert to fraction form
    2,636.56/3,955.53 = 993.58/x
  3. Step 3: Cross multiply
    2,636.56x = 3,955.53 × 993.58
  4. Step 4: Simplify right side
    2,636.56x = 3,930,135.50
  5. Step 5: Solve for x
    x = 3,930,135.50/2,636.56
  6. Step 6: Final answer
    x = 1,490.63

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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.