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Finding the Fourth Proportional to 1,780.26, 2,668.77 and 912.75

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Solution

The fourth proportional to 1,780.26, 2,668.77 and 912.75 is: 1,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.26 : 2,668.77 = 912.75 : x
  2. Step 2: Convert to fraction form
    1,780.26/2,668.77 = 912.75/x
  3. Step 3: Cross multiply
    1,780.26x = 2,668.77 × 912.75
  4. Step 4: Simplify right side
    1,780.26x = 2,435,919.82
  5. Step 5: Solve for x
    x = 2,435,919.82/1,780.26
  6. Step 6: Final answer
    x = 1,368.29

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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.