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Finding the Fourth Proportional to 1,687.35, 2,328.12 and 1,097.79

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Solution

The fourth proportional to 1,687.35, 2,328.12 and 1,097.79 is: 1,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.35 : 2,328.12 = 1,097.79 : x
  2. Step 2: Convert to fraction form
    1,687.35/2,328.12 = 1,097.79/x
  3. Step 3: Cross multiply
    1,687.35x = 2,328.12 × 1,097.79
  4. Step 4: Simplify right side
    1,687.35x = 2,555,786.85
  5. Step 5: Solve for x
    x = 2,555,786.85/1,687.35
  6. Step 6: Final answer
    x = 1,514.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.