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Finding the Fourth Proportional to 2,969.70, 4,100.67 and 2,580.90

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Solution

The fourth proportional to 2,969.70, 4,100.67 and 2,580.90 is: 3,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.70 : 4,100.67 = 2,580.90 : x
  2. Step 2: Convert to fraction form
    2,969.70/4,100.67 = 2,580.90/x
  3. Step 3: Cross multiply
    2,969.70x = 4,100.67 × 2,580.90
  4. Step 4: Simplify right side
    2,969.70x = 10,583,419.20
  5. Step 5: Solve for x
    x = 10,583,419.20/2,969.70
  6. Step 6: Final answer
    x = 3,563.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.