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Finding the Fourth Proportional to 2,263.84, 3,395.72 and 620.40

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Solution

The fourth proportional to 2,263.84, 3,395.72 and 620.40 is: 930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.84 : 3,395.72 = 620.40 : x
  2. Step 2: Convert to fraction form
    2,263.84/3,395.72 = 620.40/x
  3. Step 3: Cross multiply
    2,263.84x = 3,395.72 × 620.40
  4. Step 4: Simplify right side
    2,263.84x = 2,106,704.69
  5. Step 5: Solve for x
    x = 2,106,704.69/2,263.84
  6. Step 6: Final answer
    x = 930.59

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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.