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Finding the Fourth Proportional to 2,336.36, 3,504.18 and 777.44

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Solution

The fourth proportional to 2,336.36, 3,504.18 and 777.44 is: 1,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.36 : 3,504.18 = 777.44 : x
  2. Step 2: Convert to fraction form
    2,336.36/3,504.18 = 777.44/x
  3. Step 3: Cross multiply
    2,336.36x = 3,504.18 × 777.44
  4. Step 4: Simplify right side
    2,336.36x = 2,724,289.70
  5. Step 5: Solve for x
    x = 2,724,289.70/2,336.36
  6. Step 6: Final answer
    x = 1,166.04

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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.