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Finding the Fourth Proportional to 2,817.42, 4,224.63 and 1,649.70

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Solution

The fourth proportional to 2,817.42, 4,224.63 and 1,649.70 is: 2,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.42 : 4,224.63 = 1,649.70 : x
  2. Step 2: Convert to fraction form
    2,817.42/4,224.63 = 1,649.70/x
  3. Step 3: Cross multiply
    2,817.42x = 4,224.63 × 1,649.70
  4. Step 4: Simplify right side
    2,817.42x = 6,969,372.11
  5. Step 5: Solve for x
    x = 6,969,372.11/2,817.42
  6. Step 6: Final answer
    x = 2,473.67

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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.