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Finding the Fourth Proportional to 1,806.53, 2,709.80 and 438.53

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Solution

The fourth proportional to 1,806.53, 2,709.80 and 438.53 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.53 : 2,709.80 = 438.53 : x
  2. Step 2: Convert to fraction form
    1,806.53/2,709.80 = 438.53/x
  3. Step 3: Cross multiply
    1,806.53x = 2,709.80 × 438.53
  4. Step 4: Simplify right side
    1,806.53x = 1,188,334.27
  5. Step 5: Solve for x
    x = 1,188,334.27/1,806.53
  6. Step 6: Final answer
    x = 657.80

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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.