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Finding the Fourth Proportional to 2,709.77, 3,725.12 and 2,330.27

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Solution

The fourth proportional to 2,709.77, 3,725.12 and 2,330.27 is: 3,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.77 : 3,725.12 = 2,330.27 : x
  2. Step 2: Convert to fraction form
    2,709.77/3,725.12 = 2,330.27/x
  3. Step 3: Cross multiply
    2,709.77x = 3,725.12 × 2,330.27
  4. Step 4: Simplify right side
    2,709.77x = 8,680,521.99
  5. Step 5: Solve for x
    x = 8,680,521.99/2,709.77
  6. Step 6: Final answer
    x = 3,203.42

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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.