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Finding the Fourth Proportional to 2,532.92, 3,494.16 and 2,183

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Solution

The fourth proportional to 2,532.92, 3,494.16 and 2,183 is: 3,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.92 : 3,494.16 = 2,183 : x
  2. Step 2: Convert to fraction form
    2,532.92/3,494.16 = 2,183/x
  3. Step 3: Cross multiply
    2,532.92x = 3,494.16 × 2,183
  4. Step 4: Simplify right side
    2,532.92x = 7,627,751.28
  5. Step 5: Solve for x
    x = 7,627,751.28/2,532.92
  6. Step 6: Final answer
    x = 3,011.45

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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.