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Finding the Fourth Proportional to 2,158.94, 3,238.60 and 926.12

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Solution

The fourth proportional to 2,158.94, 3,238.60 and 926.12 is: 1,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.94 : 3,238.60 = 926.12 : x
  2. Step 2: Convert to fraction form
    2,158.94/3,238.60 = 926.12/x
  3. Step 3: Cross multiply
    2,158.94x = 3,238.60 × 926.12
  4. Step 4: Simplify right side
    2,158.94x = 2,999,332.23
  5. Step 5: Solve for x
    x = 2,999,332.23/2,158.94
  6. Step 6: Final answer
    x = 1,389.26

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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.