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Finding the Fourth Proportional to 1,867.91, 2,798.22 and 1,135.67

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Solution

The fourth proportional to 1,867.91, 2,798.22 and 1,135.67 is: 1,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.91 : 2,798.22 = 1,135.67 : x
  2. Step 2: Convert to fraction form
    1,867.91/2,798.22 = 1,135.67/x
  3. Step 3: Cross multiply
    1,867.91x = 2,798.22 × 1,135.67
  4. Step 4: Simplify right side
    1,867.91x = 3,177,861.50
  5. Step 5: Solve for x
    x = 3,177,861.50/1,867.91
  6. Step 6: Final answer
    x = 1,701.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.