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Finding the Fourth Proportional to 2,641.26, 3,644.60 and 1,462.16

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Solution

The fourth proportional to 2,641.26, 3,644.60 and 1,462.16 is: 2,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.26 : 3,644.60 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    2,641.26/3,644.60 = 1,462.16/x
  3. Step 3: Cross multiply
    2,641.26x = 3,644.60 × 1,462.16
  4. Step 4: Simplify right side
    2,641.26x = 5,328,988.34
  5. Step 5: Solve for x
    x = 5,328,988.34/2,641.26
  6. Step 6: Final answer
    x = 2,017.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.