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Finding the Fourth Proportional to 2,641.06, 3,644.62 and 1,462.13

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Solution

The fourth proportional to 2,641.06, 3,644.62 and 1,462.13 is: 2,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.06 : 3,644.62 = 1,462.13 : x
  2. Step 2: Convert to fraction form
    2,641.06/3,644.62 = 1,462.13/x
  3. Step 3: Cross multiply
    2,641.06x = 3,644.62 × 1,462.13
  4. Step 4: Simplify right side
    2,641.06x = 5,328,908.24
  5. Step 5: Solve for x
    x = 5,328,908.24/2,641.06
  6. Step 6: Final answer
    x = 2,017.72

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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.