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Finding the Fourth Proportional to 3,266.17, 4,898.59 and 1,599.57

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Solution

The fourth proportional to 3,266.17, 4,898.59 and 1,599.57 is: 2,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.17 : 4,898.59 = 1,599.57 : x
  2. Step 2: Convert to fraction form
    3,266.17/4,898.59 = 1,599.57/x
  3. Step 3: Cross multiply
    3,266.17x = 4,898.59 × 1,599.57
  4. Step 4: Simplify right side
    3,266.17x = 7,835,633.61
  5. Step 5: Solve for x
    x = 7,835,633.61/3,266.17
  6. Step 6: Final answer
    x = 2,399.03

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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.