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Finding the Fourth Proportional to 2,818.53, 3,893.13 and 2,153.88

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Solution

The fourth proportional to 2,818.53, 3,893.13 and 2,153.88 is: 2,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.53 : 3,893.13 = 2,153.88 : x
  2. Step 2: Convert to fraction form
    2,818.53/3,893.13 = 2,153.88/x
  3. Step 3: Cross multiply
    2,818.53x = 3,893.13 × 2,153.88
  4. Step 4: Simplify right side
    2,818.53x = 8,385,334.84
  5. Step 5: Solve for x
    x = 8,385,334.84/2,818.53
  6. Step 6: Final answer
    x = 2,975.07

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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.