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Finding the Fourth Proportional to 1,426.10, 1,968.03 and 836.49

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Solution

The fourth proportional to 1,426.10, 1,968.03 and 836.49 is: 1,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.10 : 1,968.03 = 836.49 : x
  2. Step 2: Convert to fraction form
    1,426.10/1,968.03 = 836.49/x
  3. Step 3: Cross multiply
    1,426.10x = 1,968.03 × 836.49
  4. Step 4: Simplify right side
    1,426.10x = 1,646,237.41
  5. Step 5: Solve for x
    x = 1,646,237.41/1,426.10
  6. Step 6: Final answer
    x = 1,154.37

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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.