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Finding the Fourth Proportional to 2,634.02, 3,951.03 and 785.78

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Solution

The fourth proportional to 2,634.02, 3,951.03 and 785.78 is: 1,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.02 : 3,951.03 = 785.78 : x
  2. Step 2: Convert to fraction form
    2,634.02/3,951.03 = 785.78/x
  3. Step 3: Cross multiply
    2,634.02x = 3,951.03 × 785.78
  4. Step 4: Simplify right side
    2,634.02x = 3,104,656.17
  5. Step 5: Solve for x
    x = 3,104,656.17/2,634.02
  6. Step 6: Final answer
    x = 1,178.68

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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.