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Finding the Fourth Proportional to 2,570.45, 3,852.03 and 1,920.43

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Solution

The fourth proportional to 2,570.45, 3,852.03 and 1,920.43 is: 2,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.45 : 3,852.03 = 1,920.43 : x
  2. Step 2: Convert to fraction form
    2,570.45/3,852.03 = 1,920.43/x
  3. Step 3: Cross multiply
    2,570.45x = 3,852.03 × 1,920.43
  4. Step 4: Simplify right side
    2,570.45x = 7,397,553.97
  5. Step 5: Solve for x
    x = 7,397,553.97/2,570.45
  6. Step 6: Final answer
    x = 2,877.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.