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Finding the Fourth Proportional to 2,163.22, 2,981.10 and 1,498.84

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Solution

The fourth proportional to 2,163.22, 2,981.10 and 1,498.84 is: 2,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.22 : 2,981.10 = 1,498.84 : x
  2. Step 2: Convert to fraction form
    2,163.22/2,981.10 = 1,498.84/x
  3. Step 3: Cross multiply
    2,163.22x = 2,981.10 × 1,498.84
  4. Step 4: Simplify right side
    2,163.22x = 4,468,191.92
  5. Step 5: Solve for x
    x = 4,468,191.92/2,163.22
  6. Step 6: Final answer
    x = 2,065.53

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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.