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Finding the Fourth Proportional to 1,624.30, 2,433.38 and 801.61

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Solution

The fourth proportional to 1,624.30, 2,433.38 and 801.61 is: 1,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.30 : 2,433.38 = 801.61 : x
  2. Step 2: Convert to fraction form
    1,624.30/2,433.38 = 801.61/x
  3. Step 3: Cross multiply
    1,624.30x = 2,433.38 × 801.61
  4. Step 4: Simplify right side
    1,624.30x = 1,950,621.74
  5. Step 5: Solve for x
    x = 1,950,621.74/1,624.30
  6. Step 6: Final answer
    x = 1,200.90

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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.