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Finding the Fourth Proportional to 2,158.48, 3,238.80 and 926.20

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Solution

The fourth proportional to 2,158.48, 3,238.80 and 926.20 is: 1,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.48 : 3,238.80 = 926.20 : x
  2. Step 2: Convert to fraction form
    2,158.48/3,238.80 = 926.20/x
  3. Step 3: Cross multiply
    2,158.48x = 3,238.80 × 926.20
  4. Step 4: Simplify right side
    2,158.48x = 2,999,776.56
  5. Step 5: Solve for x
    x = 2,999,776.56/2,158.48
  6. Step 6: Final answer
    x = 1,389.76

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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.