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Finding the Fourth Proportional to 2,196.45, 3,295.23 and 657.45

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Solution

The fourth proportional to 2,196.45, 3,295.23 and 657.45 is: 986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.45 : 3,295.23 = 657.45 : x
  2. Step 2: Convert to fraction form
    2,196.45/3,295.23 = 657.45/x
  3. Step 3: Cross multiply
    2,196.45x = 3,295.23 × 657.45
  4. Step 4: Simplify right side
    2,196.45x = 2,166,448.96
  5. Step 5: Solve for x
    x = 2,166,448.96/2,196.45
  6. Step 6: Final answer
    x = 986.34

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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.