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Finding the Fourth Proportional to 2,749.76, 3,794.74 and 1,507.76

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Solution

The fourth proportional to 2,749.76, 3,794.74 and 1,507.76 is: 2,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.76 : 3,794.74 = 1,507.76 : x
  2. Step 2: Convert to fraction form
    2,749.76/3,794.74 = 1,507.76/x
  3. Step 3: Cross multiply
    2,749.76x = 3,794.74 × 1,507.76
  4. Step 4: Simplify right side
    2,749.76x = 5,721,557.18
  5. Step 5: Solve for x
    x = 5,721,557.18/2,749.76
  6. Step 6: Final answer
    x = 2,080.75

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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.