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Finding the Fourth Proportional to 2,641.14, 3,644.52 and 1,461.90

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Solution

The fourth proportional to 2,641.14, 3,644.52 and 1,461.90 is: 2,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.14 : 3,644.52 = 1,461.90 : x
  2. Step 2: Convert to fraction form
    2,641.14/3,644.52 = 1,461.90/x
  3. Step 3: Cross multiply
    2,641.14x = 3,644.52 × 1,461.90
  4. Step 4: Simplify right side
    2,641.14x = 5,327,923.79
  5. Step 5: Solve for x
    x = 5,327,923.79/2,641.14
  6. Step 6: Final answer
    x = 2,017.28

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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.