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Finding the Fourth Proportional to 2,237.19, 3,353.04 and 774.65

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Solution

The fourth proportional to 2,237.19, 3,353.04 and 774.65 is: 1,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.19 : 3,353.04 = 774.65 : x
  2. Step 2: Convert to fraction form
    2,237.19/3,353.04 = 774.65/x
  3. Step 3: Cross multiply
    2,237.19x = 3,353.04 × 774.65
  4. Step 4: Simplify right side
    2,237.19x = 2,597,415.67
  5. Step 5: Solve for x
    x = 2,597,415.67/2,237.19
  6. Step 6: Final answer
    x = 1,161.02

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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.