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Finding the Fourth Proportional to 1,782.99, 2,675.40 and 808.97

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Solution

The fourth proportional to 1,782.99, 2,675.40 and 808.97 is: 1,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.99 : 2,675.40 = 808.97 : x
  2. Step 2: Convert to fraction form
    1,782.99/2,675.40 = 808.97/x
  3. Step 3: Cross multiply
    1,782.99x = 2,675.40 × 808.97
  4. Step 4: Simplify right side
    1,782.99x = 2,164,301.93
  5. Step 5: Solve for x
    x = 2,164,301.93/1,782.99
  6. Step 6: Final answer
    x = 1,213.86

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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.