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Finding the Fourth Proportional to 2,573.34, 3,860.49 and 843.18

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Solution

The fourth proportional to 2,573.34, 3,860.49 and 843.18 is: 1,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.34 : 3,860.49 = 843.18 : x
  2. Step 2: Convert to fraction form
    2,573.34/3,860.49 = 843.18/x
  3. Step 3: Cross multiply
    2,573.34x = 3,860.49 × 843.18
  4. Step 4: Simplify right side
    2,573.34x = 3,255,087.96
  5. Step 5: Solve for x
    x = 3,255,087.96/2,573.34
  6. Step 6: Final answer
    x = 1,264.93

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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.