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Finding the Fourth Proportional to 2,105.18, 3,156.88 and 644

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Solution

The fourth proportional to 2,105.18, 3,156.88 and 644 is: 965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.18 : 3,156.88 = 644 : x
  2. Step 2: Convert to fraction form
    2,105.18/3,156.88 = 644/x
  3. Step 3: Cross multiply
    2,105.18x = 3,156.88 × 644
  4. Step 4: Simplify right side
    2,105.18x = 2,033,030.72
  5. Step 5: Solve for x
    x = 2,033,030.72/2,105.18
  6. Step 6: Final answer
    x = 965.73

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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.