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Finding the Fourth Proportional to 2,299.52, 3,171.63 and 1,459.50

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Solution

The fourth proportional to 2,299.52, 3,171.63 and 1,459.50 is: 2,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.52 : 3,171.63 = 1,459.50 : x
  2. Step 2: Convert to fraction form
    2,299.52/3,171.63 = 1,459.50/x
  3. Step 3: Cross multiply
    2,299.52x = 3,171.63 × 1,459.50
  4. Step 4: Simplify right side
    2,299.52x = 4,628,993.99
  5. Step 5: Solve for x
    x = 4,628,993.99/2,299.52
  6. Step 6: Final answer
    x = 2,013.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.