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Finding the Fourth Proportional to 2,299.95, 3,450.06 and 656.37

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Solution

The fourth proportional to 2,299.95, 3,450.06 and 656.37 is: 984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.95 : 3,450.06 = 656.37 : x
  2. Step 2: Convert to fraction form
    2,299.95/3,450.06 = 656.37/x
  3. Step 3: Cross multiply
    2,299.95x = 3,450.06 × 656.37
  4. Step 4: Simplify right side
    2,299.95x = 2,264,495.35
  5. Step 5: Solve for x
    x = 2,264,495.35/2,299.95
  6. Step 6: Final answer
    x = 984.58

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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.