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Finding the Fourth Proportional to 2,749.77, 3,794.72 and 1,507.77

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Solution

The fourth proportional to 2,749.77, 3,794.72 and 1,507.77 is: 2,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.77 : 3,794.72 = 1,507.77 : x
  2. Step 2: Convert to fraction form
    2,749.77/3,794.72 = 1,507.77/x
  3. Step 3: Cross multiply
    2,749.77x = 3,794.72 × 1,507.77
  4. Step 4: Simplify right side
    2,749.77x = 5,721,557.44
  5. Step 5: Solve for x
    x = 5,721,557.44/2,749.77
  6. Step 6: Final answer
    x = 2,080.74

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1.5x scale

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.