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Finding the Fourth Proportional to 2,598.10, 3,896.37 and 1,364.84

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Solution

The fourth proportional to 2,598.10, 3,896.37 and 1,364.84 is: 2,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.10 : 3,896.37 = 1,364.84 : x
  2. Step 2: Convert to fraction form
    2,598.10/3,896.37 = 1,364.84/x
  3. Step 3: Cross multiply
    2,598.10x = 3,896.37 × 1,364.84
  4. Step 4: Simplify right side
    2,598.10x = 5,317,916.76
  5. Step 5: Solve for x
    x = 5,317,916.76/2,598.10
  6. Step 6: Final answer
    x = 2,046.85

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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.