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Finding the Fourth Proportional to 1,953.81, 2,929.68 and 857.66

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Solution

The fourth proportional to 1,953.81, 2,929.68 and 857.66 is: 1,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.81 : 2,929.68 = 857.66 : x
  2. Step 2: Convert to fraction form
    1,953.81/2,929.68 = 857.66/x
  3. Step 3: Cross multiply
    1,953.81x = 2,929.68 × 857.66
  4. Step 4: Simplify right side
    1,953.81x = 2,512,654.70
  5. Step 5: Solve for x
    x = 2,512,654.70/1,953.81
  6. Step 6: Final answer
    x = 1,286.03

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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.