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Finding the Fourth Proportional to 1,624.43, 2,436.33 and 801.83

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Solution

The fourth proportional to 1,624.43, 2,436.33 and 801.83 is: 1,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.43 : 2,436.33 = 801.83 : x
  2. Step 2: Convert to fraction form
    1,624.43/2,436.33 = 801.83/x
  3. Step 3: Cross multiply
    1,624.43x = 2,436.33 × 801.83
  4. Step 4: Simplify right side
    1,624.43x = 1,953,522.48
  5. Step 5: Solve for x
    x = 1,953,522.48/1,624.43
  6. Step 6: Final answer
    x = 1,202.59

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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.