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Finding the Fourth Proportional to 2,267.76, 3,129.51 and 1,273.08

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Solution

The fourth proportional to 2,267.76, 3,129.51 and 1,273.08 is: 1,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.76 : 3,129.51 = 1,273.08 : x
  2. Step 2: Convert to fraction form
    2,267.76/3,129.51 = 1,273.08/x
  3. Step 3: Cross multiply
    2,267.76x = 3,129.51 × 1,273.08
  4. Step 4: Simplify right side
    2,267.76x = 3,984,116.59
  5. Step 5: Solve for x
    x = 3,984,116.59/2,267.76
  6. Step 6: Final answer
    x = 1,756.85

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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.