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Finding the Fourth Proportional to 2,599.65, 3,890.84 and 1,845.36

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Solution

The fourth proportional to 2,599.65, 3,890.84 and 1,845.36 is: 2,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.65 : 3,890.84 = 1,845.36 : x
  2. Step 2: Convert to fraction form
    2,599.65/3,890.84 = 1,845.36/x
  3. Step 3: Cross multiply
    2,599.65x = 3,890.84 × 1,845.36
  4. Step 4: Simplify right side
    2,599.65x = 7,179,991.28
  5. Step 5: Solve for x
    x = 7,179,991.28/2,599.65
  6. Step 6: Final answer
    x = 2,761.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.