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Finding the Fourth Proportional to 2,107.31, 3,161.55 and 646.67

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Solution

The fourth proportional to 2,107.31, 3,161.55 and 646.67 is: 970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.31 : 3,161.55 = 646.67 : x
  2. Step 2: Convert to fraction form
    2,107.31/3,161.55 = 646.67/x
  3. Step 3: Cross multiply
    2,107.31x = 3,161.55 × 646.67
  4. Step 4: Simplify right side
    2,107.31x = 2,044,463.73
  5. Step 5: Solve for x
    x = 2,044,463.73/2,107.31
  6. Step 6: Final answer
    x = 970.18

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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.