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Finding the Fourth Proportional to 2,977.63, 4,461.74 and 1,100.94

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Solution

The fourth proportional to 2,977.63, 4,461.74 and 1,100.94 is: 1,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.63 : 4,461.74 = 1,100.94 : x
  2. Step 2: Convert to fraction form
    2,977.63/4,461.74 = 1,100.94/x
  3. Step 3: Cross multiply
    2,977.63x = 4,461.74 × 1,100.94
  4. Step 4: Simplify right side
    2,977.63x = 4,912,105.28
  5. Step 5: Solve for x
    x = 4,912,105.28/2,977.63
  6. Step 6: Final answer
    x = 1,649.67

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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.