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Finding the Fourth Proportional to 2,162.93, 2,983.67 and 1,882.67

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Solution

The fourth proportional to 2,162.93, 2,983.67 and 1,882.67 is: 2,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.93 : 2,983.67 = 1,882.67 : x
  2. Step 2: Convert to fraction form
    2,162.93/2,983.67 = 1,882.67/x
  3. Step 3: Cross multiply
    2,162.93x = 2,983.67 × 1,882.67
  4. Step 4: Simplify right side
    2,162.93x = 5,617,241.67
  5. Step 5: Solve for x
    x = 5,617,241.67/2,162.93
  6. Step 6: Final answer
    x = 2,597.06

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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.