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Finding the Fourth Proportional to 2,774.44, 4,162.29 and 926.17

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Solution

The fourth proportional to 2,774.44, 4,162.29 and 926.17 is: 1,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.44 : 4,162.29 = 926.17 : x
  2. Step 2: Convert to fraction form
    2,774.44/4,162.29 = 926.17/x
  3. Step 3: Cross multiply
    2,774.44x = 4,162.29 × 926.17
  4. Step 4: Simplify right side
    2,774.44x = 3,854,988.13
  5. Step 5: Solve for x
    x = 3,854,988.13/2,774.44
  6. Step 6: Final answer
    x = 1,389.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.