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Finding the Fourth Proportional to 2,749.68, 3,773.52 and 2,730.24

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Solution

The fourth proportional to 2,749.68, 3,773.52 and 2,730.24 is: 3,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.68 : 3,773.52 = 2,730.24 : x
  2. Step 2: Convert to fraction form
    2,749.68/3,773.52 = 2,730.24/x
  3. Step 3: Cross multiply
    2,749.68x = 3,773.52 × 2,730.24
  4. Step 4: Simplify right side
    2,749.68x = 10,302,615.24
  5. Step 5: Solve for x
    x = 10,302,615.24/2,749.68
  6. Step 6: Final answer
    x = 3,746.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.