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Finding the Fourth Proportional to 2,814.94, 3,884 and 1,635.40

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Solution

The fourth proportional to 2,814.94, 3,884 and 1,635.40 is: 2,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.94 : 3,884 = 1,635.40 : x
  2. Step 2: Convert to fraction form
    2,814.94/3,884 = 1,635.40/x
  3. Step 3: Cross multiply
    2,814.94x = 3,884 × 1,635.40
  4. Step 4: Simplify right side
    2,814.94x = 6,351,893.60
  5. Step 5: Solve for x
    x = 6,351,893.60/2,814.94
  6. Step 6: Final answer
    x = 2,256.49

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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.