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Finding the Fourth Proportional to 2,813.42, 3,882.41 and 1,554.57

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Solution

The fourth proportional to 2,813.42, 3,882.41 and 1,554.57 is: 2,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.42 : 3,882.41 = 1,554.57 : x
  2. Step 2: Convert to fraction form
    2,813.42/3,882.41 = 1,554.57/x
  3. Step 3: Cross multiply
    2,813.42x = 3,882.41 × 1,554.57
  4. Step 4: Simplify right side
    2,813.42x = 6,035,470.34
  5. Step 5: Solve for x
    x = 6,035,470.34/2,813.42
  6. Step 6: Final answer
    x = 2,145.25

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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.