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Finding the Fourth Proportional to 2,634.45, 3,951.69 and 686.67

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Solution

The fourth proportional to 2,634.45, 3,951.69 and 686.67 is: 1,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.45 : 3,951.69 = 686.67 : x
  2. Step 2: Convert to fraction form
    2,634.45/3,951.69 = 686.67/x
  3. Step 3: Cross multiply
    2,634.45x = 3,951.69 × 686.67
  4. Step 4: Simplify right side
    2,634.45x = 2,713,506.97
  5. Step 5: Solve for x
    x = 2,713,506.97/2,634.45
  6. Step 6: Final answer
    x = 1,030.01

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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.