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Finding the Fourth Proportional to 2,235.02, 3,351.93 and 774.50

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Solution

The fourth proportional to 2,235.02, 3,351.93 and 774.50 is: 1,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.02 : 3,351.93 = 774.50 : x
  2. Step 2: Convert to fraction form
    2,235.02/3,351.93 = 774.50/x
  3. Step 3: Cross multiply
    2,235.02x = 3,351.93 × 774.50
  4. Step 4: Simplify right side
    2,235.02x = 2,596,069.79
  5. Step 5: Solve for x
    x = 2,596,069.79/2,235.02
  6. Step 6: Final answer
    x = 1,161.54

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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.