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Finding the Fourth Proportional to 1,743.65, 2,406.27 and 997.67

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Solution

The fourth proportional to 1,743.65, 2,406.27 and 997.67 is: 1,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.65 : 2,406.27 = 997.67 : x
  2. Step 2: Convert to fraction form
    1,743.65/2,406.27 = 997.67/x
  3. Step 3: Cross multiply
    1,743.65x = 2,406.27 × 997.67
  4. Step 4: Simplify right side
    1,743.65x = 2,400,663.39
  5. Step 5: Solve for x
    x = 2,400,663.39/1,743.65
  6. Step 6: Final answer
    x = 1,376.80

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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.