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Finding the Fourth Proportional to 1,624.06, 2,433.72 and 801.46

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Solution

The fourth proportional to 1,624.06, 2,433.72 and 801.46 is: 1,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.06 : 2,433.72 = 801.46 : x
  2. Step 2: Convert to fraction form
    1,624.06/2,433.72 = 801.46/x
  3. Step 3: Cross multiply
    1,624.06x = 2,433.72 × 801.46
  4. Step 4: Simplify right side
    1,624.06x = 1,950,529.23
  5. Step 5: Solve for x
    x = 1,950,529.23/1,624.06
  6. Step 6: Final answer
    x = 1,201.02

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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.