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Finding the Fourth Proportional to 2,638.99, 3,641.79 and 1,460.04

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Solution

The fourth proportional to 2,638.99, 3,641.79 and 1,460.04 is: 2,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.99 : 3,641.79 = 1,460.04 : x
  2. Step 2: Convert to fraction form
    2,638.99/3,641.79 = 1,460.04/x
  3. Step 3: Cross multiply
    2,638.99x = 3,641.79 × 1,460.04
  4. Step 4: Simplify right side
    2,638.99x = 5,317,159.07
  5. Step 5: Solve for x
    x = 5,317,159.07/2,638.99
  6. Step 6: Final answer
    x = 2,014.85

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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.