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Finding the Fourth Proportional to 2,086.29, 3,130.04 and 625.66

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Solution

The fourth proportional to 2,086.29, 3,130.04 and 625.66 is: 938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.29 : 3,130.04 = 625.66 : x
  2. Step 2: Convert to fraction form
    2,086.29/3,130.04 = 625.66/x
  3. Step 3: Cross multiply
    2,086.29x = 3,130.04 × 625.66
  4. Step 4: Simplify right side
    2,086.29x = 1,958,334.57
  5. Step 5: Solve for x
    x = 1,958,334.57/2,086.29
  6. Step 6: Final answer
    x = 938.67

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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.