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Finding the Fourth Proportional to 1,749.41, 2,624.37 and 638.90

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Solution

The fourth proportional to 1,749.41, 2,624.37 and 638.90 is: 958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.41 : 2,624.37 = 638.90 : x
  2. Step 2: Convert to fraction form
    1,749.41/2,624.37 = 638.90/x
  3. Step 3: Cross multiply
    1,749.41x = 2,624.37 × 638.90
  4. Step 4: Simplify right side
    1,749.41x = 1,676,706.80
  5. Step 5: Solve for x
    x = 1,676,706.80/1,749.41
  6. Step 6: Final answer
    x = 958.44

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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.