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Finding the Fourth Proportional to 1,967.85, 2,717.19 and 1,524.98

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Solution

The fourth proportional to 1,967.85, 2,717.19 and 1,524.98 is: 2,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.85 : 2,717.19 = 1,524.98 : x
  2. Step 2: Convert to fraction form
    1,967.85/2,717.19 = 1,524.98/x
  3. Step 3: Cross multiply
    1,967.85x = 2,717.19 × 1,524.98
  4. Step 4: Simplify right side
    1,967.85x = 4,143,646.82
  5. Step 5: Solve for x
    x = 4,143,646.82/1,967.85
  6. Step 6: Final answer
    x = 2,105.67

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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.