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Finding the Fourth Proportional to 1,425.63, 1,967.39 and 836.18

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Solution

The fourth proportional to 1,425.63, 1,967.39 and 836.18 is: 1,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.63 : 1,967.39 = 836.18 : x
  2. Step 2: Convert to fraction form
    1,425.63/1,967.39 = 836.18/x
  3. Step 3: Cross multiply
    1,425.63x = 1,967.39 × 836.18
  4. Step 4: Simplify right side
    1,425.63x = 1,645,078.15
  5. Step 5: Solve for x
    x = 1,645,078.15/1,425.63
  6. Step 6: Final answer
    x = 1,153.93

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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.