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Finding the Fourth Proportional to 2,152.28, 2,969.70 and 1,267.88

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Solution

The fourth proportional to 2,152.28, 2,969.70 and 1,267.88 is: 1,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.28 : 2,969.70 = 1,267.88 : x
  2. Step 2: Convert to fraction form
    2,152.28/2,969.70 = 1,267.88/x
  3. Step 3: Cross multiply
    2,152.28x = 2,969.70 × 1,267.88
  4. Step 4: Simplify right side
    2,152.28x = 3,765,223.24
  5. Step 5: Solve for x
    x = 3,765,223.24/2,152.28
  6. Step 6: Final answer
    x = 1,749.41

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