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Finding the Fourth Proportional to 2,573.14, 3,859.67 and 625.34

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Solution

The fourth proportional to 2,573.14, 3,859.67 and 625.34 is: 938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.14 : 3,859.67 = 625.34 : x
  2. Step 2: Convert to fraction form
    2,573.14/3,859.67 = 625.34/x
  3. Step 3: Cross multiply
    2,573.14x = 3,859.67 × 625.34
  4. Step 4: Simplify right side
    2,573.14x = 2,413,617.25
  5. Step 5: Solve for x
    x = 2,413,617.25/2,573.14
  6. Step 6: Final answer
    x = 938.01

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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.