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Finding the Fourth Proportional to 2,562.33, 3,843.50 and 918.98

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Solution

The fourth proportional to 2,562.33, 3,843.50 and 918.98 is: 1,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.33 : 3,843.50 = 918.98 : x
  2. Step 2: Convert to fraction form
    2,562.33/3,843.50 = 918.98/x
  3. Step 3: Cross multiply
    2,562.33x = 3,843.50 × 918.98
  4. Step 4: Simplify right side
    2,562.33x = 3,532,099.63
  5. Step 5: Solve for x
    x = 3,532,099.63/2,562.33
  6. Step 6: Final answer
    x = 1,378.47

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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.