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Finding the Fourth Proportional to 2,107.23, 3,161.02 and 647.41

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Solution

The fourth proportional to 2,107.23, 3,161.02 and 647.41 is: 971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.23 : 3,161.02 = 647.41 : x
  2. Step 2: Convert to fraction form
    2,107.23/3,161.02 = 647.41/x
  3. Step 3: Cross multiply
    2,107.23x = 3,161.02 × 647.41
  4. Step 4: Simplify right side
    2,107.23x = 2,046,475.96
  5. Step 5: Solve for x
    x = 2,046,475.96/2,107.23
  6. Step 6: Final answer
    x = 971.17

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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.