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Finding the Fourth Proportional to 2,749.60, 3,794.24 and 1,507.60

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Solution

The fourth proportional to 2,749.60, 3,794.24 and 1,507.60 is: 2,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.60 : 3,794.24 = 1,507.60 : x
  2. Step 2: Convert to fraction form
    2,749.60/3,794.24 = 1,507.60/x
  3. Step 3: Cross multiply
    2,749.60x = 3,794.24 × 1,507.60
  4. Step 4: Simplify right side
    2,749.60x = 5,720,196.22
  5. Step 5: Solve for x
    x = 5,720,196.22/2,749.60
  6. Step 6: Final answer
    x = 2,080.37

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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.