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Finding the Fourth Proportional to 1,781.70, 2,668.48 and 857.93

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Solution

The fourth proportional to 1,781.70, 2,668.48 and 857.93 is: 1,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.70 : 2,668.48 = 857.93 : x
  2. Step 2: Convert to fraction form
    1,781.70/2,668.48 = 857.93/x
  3. Step 3: Cross multiply
    1,781.70x = 2,668.48 × 857.93
  4. Step 4: Simplify right side
    1,781.70x = 2,289,353.56
  5. Step 5: Solve for x
    x = 2,289,353.56/1,781.70
  6. Step 6: Final answer
    x = 1,284.93

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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.