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Finding the Fourth Proportional to 2,636.33, 3,634.49 and 2,106.99

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Solution

The fourth proportional to 2,636.33, 3,634.49 and 2,106.99 is: 2,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.33 : 3,634.49 = 2,106.99 : x
  2. Step 2: Convert to fraction form
    2,636.33/3,634.49 = 2,106.99/x
  3. Step 3: Cross multiply
    2,636.33x = 3,634.49 × 2,106.99
  4. Step 4: Simplify right side
    2,636.33x = 7,657,839.35
  5. Step 5: Solve for x
    x = 7,657,839.35/2,636.33
  6. Step 6: Final answer
    x = 2,904.74

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