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Finding the Fourth Proportional to 1,619.10, 2,428.79 and 644.67

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Solution

The fourth proportional to 1,619.10, 2,428.79 and 644.67 is: 967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.10 : 2,428.79 = 644.67 : x
  2. Step 2: Convert to fraction form
    1,619.10/2,428.79 = 644.67/x
  3. Step 3: Cross multiply
    1,619.10x = 2,428.79 × 644.67
  4. Step 4: Simplify right side
    1,619.10x = 1,565,764.83
  5. Step 5: Solve for x
    x = 1,565,764.83/1,619.10
  6. Step 6: Final answer
    x = 967.06

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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.