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Finding the Fourth Proportional to 2,039.67, 3,053.00 and 1,624.14

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Solution

The fourth proportional to 2,039.67, 3,053.00 and 1,624.14 is: 2,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.67 : 3,053.00 = 1,624.14 : x
  2. Step 2: Convert to fraction form
    2,039.67/3,053.00 = 1,624.14/x
  3. Step 3: Cross multiply
    2,039.67x = 3,053.00 × 1,624.14
  4. Step 4: Simplify right side
    2,039.67x = 4,958,503.48
  5. Step 5: Solve for x
    x = 4,958,503.48/2,039.67
  6. Step 6: Final answer
    x = 2,431.03

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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.