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Finding the Fourth Proportional to 1,425.78, 1,967.57 and 836.21

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Solution

The fourth proportional to 1,425.78, 1,967.57 and 836.21 is: 1,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.78 : 1,967.57 = 836.21 : x
  2. Step 2: Convert to fraction form
    1,425.78/1,967.57 = 836.21/x
  3. Step 3: Cross multiply
    1,425.78x = 1,967.57 × 836.21
  4. Step 4: Simplify right side
    1,425.78x = 1,645,287.69
  5. Step 5: Solve for x
    x = 1,645,287.69/1,425.78
  6. Step 6: Final answer
    x = 1,153.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.