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Finding the Fourth Proportional to 2,105.58, 3,158.88 and 644.75

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Solution

The fourth proportional to 2,105.58, 3,158.88 and 644.75 is: 967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.58 : 3,158.88 = 644.75 : x
  2. Step 2: Convert to fraction form
    2,105.58/3,158.88 = 644.75/x
  3. Step 3: Cross multiply
    2,105.58x = 3,158.88 × 644.75
  4. Step 4: Simplify right side
    2,105.58x = 2,036,687.88
  5. Step 5: Solve for x
    x = 2,036,687.88/2,105.58
  6. Step 6: Final answer
    x = 967.28

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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.