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Finding the Fourth Proportional to 1,395.91, 1,926.72 and 836.74

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Solution

The fourth proportional to 1,395.91, 1,926.72 and 836.74 is: 1,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.91 : 1,926.72 = 836.74 : x
  2. Step 2: Convert to fraction form
    1,395.91/1,926.72 = 836.74/x
  3. Step 3: Cross multiply
    1,395.91x = 1,926.72 × 836.74
  4. Step 4: Simplify right side
    1,395.91x = 1,612,163.69
  5. Step 5: Solve for x
    x = 1,612,163.69/1,395.91
  6. Step 6: Final answer
    x = 1,154.92

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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.