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Finding the Fourth Proportional to 2,599.59, 3,894.24 and 1,211.02

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Solution

The fourth proportional to 2,599.59, 3,894.24 and 1,211.02 is: 1,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.59 : 3,894.24 = 1,211.02 : x
  2. Step 2: Convert to fraction form
    2,599.59/3,894.24 = 1,211.02/x
  3. Step 3: Cross multiply
    2,599.59x = 3,894.24 × 1,211.02
  4. Step 4: Simplify right side
    2,599.59x = 4,715,996.60
  5. Step 5: Solve for x
    x = 4,715,996.60/2,599.59
  6. Step 6: Final answer
    x = 1,814.13

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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.