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Finding the Fourth Proportional to 2,675.77, 3,696.10 and 2,053.99

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Solution

The fourth proportional to 2,675.77, 3,696.10 and 2,053.99 is: 2,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.77 : 3,696.10 = 2,053.99 : x
  2. Step 2: Convert to fraction form
    2,675.77/3,696.10 = 2,053.99/x
  3. Step 3: Cross multiply
    2,675.77x = 3,696.10 × 2,053.99
  4. Step 4: Simplify right side
    2,675.77x = 7,591,734.02
  5. Step 5: Solve for x
    x = 7,591,734.02/2,675.77
  6. Step 6: Final answer
    x = 2,837.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.