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Finding the Fourth Proportional to 1,426.37, 1,967.87 and 836.69

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Solution

The fourth proportional to 1,426.37, 1,967.87 and 836.69 is: 1,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.37 : 1,967.87 = 836.69 : x
  2. Step 2: Convert to fraction form
    1,426.37/1,967.87 = 836.69/x
  3. Step 3: Cross multiply
    1,426.37x = 1,967.87 × 836.69
  4. Step 4: Simplify right side
    1,426.37x = 1,646,492.97
  5. Step 5: Solve for x
    x = 1,646,492.97/1,426.37
  6. Step 6: Final answer
    x = 1,154.32

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Why These Related Problems?

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