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Finding the Fourth Proportional to 1,743.91, 2,615.87 and 427.67

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Solution

The fourth proportional to 1,743.91, 2,615.87 and 427.67 is: 641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.91 : 2,615.87 = 427.67 : x
  2. Step 2: Convert to fraction form
    1,743.91/2,615.87 = 427.67/x
  3. Step 3: Cross multiply
    1,743.91x = 2,615.87 × 427.67
  4. Step 4: Simplify right side
    1,743.91x = 1,118,716.76
  5. Step 5: Solve for x
    x = 1,118,716.76/1,743.91
  6. Step 6: Final answer
    x = 641.50

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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.