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Finding the Fourth Proportional to 2,640.93, 3,644.51 and 1,462.02

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Solution

The fourth proportional to 2,640.93, 3,644.51 and 1,462.02 is: 2,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.93 : 3,644.51 = 1,462.02 : x
  2. Step 2: Convert to fraction form
    2,640.93/3,644.51 = 1,462.02/x
  3. Step 3: Cross multiply
    2,640.93x = 3,644.51 × 1,462.02
  4. Step 4: Simplify right side
    2,640.93x = 5,328,346.51
  5. Step 5: Solve for x
    x = 5,328,346.51/2,640.93
  6. Step 6: Final answer
    x = 2,017.60

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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.