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Finding the Fourth Proportional to 2,638.93, 3,641.82 and 1,460.01

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Solution

The fourth proportional to 2,638.93, 3,641.82 and 1,460.01 is: 2,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.93 : 3,641.82 = 1,460.01 : x
  2. Step 2: Convert to fraction form
    2,638.93/3,641.82 = 1,460.01/x
  3. Step 3: Cross multiply
    2,638.93x = 3,641.82 × 1,460.01
  4. Step 4: Simplify right side
    2,638.93x = 5,317,093.62
  5. Step 5: Solve for x
    x = 5,317,093.62/2,638.93
  6. Step 6: Final answer
    x = 2,014.87

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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.