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Finding the Fourth Proportional to 2,158.88, 3,238.52 and 926.01

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Solution

The fourth proportional to 2,158.88, 3,238.52 and 926.01 is: 1,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.88 : 3,238.52 = 926.01 : x
  2. Step 2: Convert to fraction form
    2,158.88/3,238.52 = 926.01/x
  3. Step 3: Cross multiply
    2,158.88x = 3,238.52 × 926.01
  4. Step 4: Simplify right side
    2,158.88x = 2,998,901.91
  5. Step 5: Solve for x
    x = 2,998,901.91/2,158.88
  6. Step 6: Final answer
    x = 1,389.10

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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.