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Finding the Fourth Proportional to 1,932.42, 2,899.14 and 836.53

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Solution

The fourth proportional to 1,932.42, 2,899.14 and 836.53 is: 1,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.42 : 2,899.14 = 836.53 : x
  2. Step 2: Convert to fraction form
    1,932.42/2,899.14 = 836.53/x
  3. Step 3: Cross multiply
    1,932.42x = 2,899.14 × 836.53
  4. Step 4: Simplify right side
    1,932.42x = 2,425,217.58
  5. Step 5: Solve for x
    x = 2,425,217.58/1,932.42
  6. Step 6: Final answer
    x = 1,255.02

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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.