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Finding the Fourth Proportional to 2,641.36, 3,644.84 and 1,462.12

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Solution

The fourth proportional to 2,641.36, 3,644.84 and 1,462.12 is: 2,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.36 : 3,644.84 = 1,462.12 : x
  2. Step 2: Convert to fraction form
    2,641.36/3,644.84 = 1,462.12/x
  3. Step 3: Cross multiply
    2,641.36x = 3,644.84 × 1,462.12
  4. Step 4: Simplify right side
    2,641.36x = 5,329,193.46
  5. Step 5: Solve for x
    x = 5,329,193.46/2,641.36
  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.