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Finding the Fourth Proportional to 1,954.53, 2,932.16 and 859.68

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Solution

The fourth proportional to 1,954.53, 2,932.16 and 859.68 is: 1,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.53 : 2,932.16 = 859.68 : x
  2. Step 2: Convert to fraction form
    1,954.53/2,932.16 = 859.68/x
  3. Step 3: Cross multiply
    1,954.53x = 2,932.16 × 859.68
  4. Step 4: Simplify right side
    1,954.53x = 2,520,715.01
  5. Step 5: Solve for x
    x = 2,520,715.01/1,954.53
  6. Step 6: Final answer
    x = 1,289.68

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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.