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Finding the Fourth Proportional to 2,813.17, 3,878.53 and 1,927.39

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Solution

The fourth proportional to 2,813.17, 3,878.53 and 1,927.39 is: 2,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.17 : 3,878.53 = 1,927.39 : x
  2. Step 2: Convert to fraction form
    2,813.17/3,878.53 = 1,927.39/x
  3. Step 3: Cross multiply
    2,813.17x = 3,878.53 × 1,927.39
  4. Step 4: Simplify right side
    2,813.17x = 7,475,439.94
  5. Step 5: Solve for x
    x = 7,475,439.94/2,813.17
  6. Step 6: Final answer
    x = 2,657.30

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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.