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Finding the Fourth Proportional to 2,733.94, 4,101.51 and 785.99

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Solution

The fourth proportional to 2,733.94, 4,101.51 and 785.99 is: 1,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.94 : 4,101.51 = 785.99 : x
  2. Step 2: Convert to fraction form
    2,733.94/4,101.51 = 785.99/x
  3. Step 3: Cross multiply
    2,733.94x = 4,101.51 × 785.99
  4. Step 4: Simplify right side
    2,733.94x = 3,223,735.98
  5. Step 5: Solve for x
    x = 3,223,735.98/2,733.94
  6. Step 6: Final answer
    x = 1,179.16

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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.