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Finding the Fourth Proportional to 1,426.16, 1,968 and 836.72

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Solution

The fourth proportional to 1,426.16, 1,968 and 836.72 is: 1,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.16 : 1,968 = 836.72 : x
  2. Step 2: Convert to fraction form
    1,426.16/1,968 = 836.72/x
  3. Step 3: Cross multiply
    1,426.16x = 1,968 × 836.72
  4. Step 4: Simplify right side
    1,426.16x = 1,646,664.96
  5. Step 5: Solve for x
    x = 1,646,664.96/1,426.16
  6. Step 6: Final answer
    x = 1,154.61

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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.