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Finding the Fourth Proportional to 2,813.75, 3,882.93 and 1,554.86

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Solution

The fourth proportional to 2,813.75, 3,882.93 and 1,554.86 is: 2,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.75 : 3,882.93 = 1,554.86 : x
  2. Step 2: Convert to fraction form
    2,813.75/3,882.93 = 1,554.86/x
  3. Step 3: Cross multiply
    2,813.75x = 3,882.93 × 1,554.86
  4. Step 4: Simplify right side
    2,813.75x = 6,037,412.54
  5. Step 5: Solve for x
    x = 6,037,412.54/2,813.75
  6. Step 6: Final answer
    x = 2,145.68

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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.