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Finding the Fourth Proportional to 1,426.05, 1,967.60 and 836.47

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Solution

The fourth proportional to 1,426.05, 1,967.60 and 836.47 is: 1,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.05 : 1,967.60 = 836.47 : x
  2. Step 2: Convert to fraction form
    1,426.05/1,967.60 = 836.47/x
  3. Step 3: Cross multiply
    1,426.05x = 1,967.60 × 836.47
  4. Step 4: Simplify right side
    1,426.05x = 1,645,842.92
  5. Step 5: Solve for x
    x = 1,645,842.92/1,426.05
  6. Step 6: Final answer
    x = 1,154.13

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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.