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Finding the Fourth Proportional to 1,782.56, 2,673.76 and 809.44

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Solution

The fourth proportional to 1,782.56, 2,673.76 and 809.44 is: 1,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.56 : 2,673.76 = 809.44 : x
  2. Step 2: Convert to fraction form
    1,782.56/2,673.76 = 809.44/x
  3. Step 3: Cross multiply
    1,782.56x = 2,673.76 × 809.44
  4. Step 4: Simplify right side
    1,782.56x = 2,164,248.29
  5. Step 5: Solve for x
    x = 2,164,248.29/1,782.56
  6. Step 6: Final answer
    x = 1,214.12

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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.