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Finding the Fourth Proportional to 2,158.62, 3,238.41 and 619.50

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Solution

The fourth proportional to 2,158.62, 3,238.41 and 619.50 is: 929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.62 : 3,238.41 = 619.50 : x
  2. Step 2: Convert to fraction form
    2,158.62/3,238.41 = 619.50/x
  3. Step 3: Cross multiply
    2,158.62x = 3,238.41 × 619.50
  4. Step 4: Simplify right side
    2,158.62x = 2,006,195.00
  5. Step 5: Solve for x
    x = 2,006,195.00/2,158.62
  6. Step 6: Final answer
    x = 929.39

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Why These Related Problems?

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