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Finding the Fourth Proportional to 2,601.63, 3,898.71 and 1,120.46

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Solution

The fourth proportional to 2,601.63, 3,898.71 and 1,120.46 is: 1,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.63 : 3,898.71 = 1,120.46 : x
  2. Step 2: Convert to fraction form
    2,601.63/3,898.71 = 1,120.46/x
  3. Step 3: Cross multiply
    2,601.63x = 3,898.71 × 1,120.46
  4. Step 4: Simplify right side
    2,601.63x = 4,368,329.11
  5. Step 5: Solve for x
    x = 4,368,329.11/2,601.63
  6. Step 6: Final answer
    x = 1,679.07

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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.