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Finding the Fourth Proportional to 2,235.22, 3,352.87 and 774.42

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Solution

The fourth proportional to 2,235.22, 3,352.87 and 774.42 is: 1,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.22 : 3,352.87 = 774.42 : x
  2. Step 2: Convert to fraction form
    2,235.22/3,352.87 = 774.42/x
  3. Step 3: Cross multiply
    2,235.22x = 3,352.87 × 774.42
  4. Step 4: Simplify right side
    2,235.22x = 2,596,508.95
  5. Step 5: Solve for x
    x = 2,596,508.95/2,235.22
  6. Step 6: Final answer
    x = 1,161.64

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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.