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Finding the Fourth Proportional to 2,638.88, 3,641.60 and 1,459.88

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Solution

The fourth proportional to 2,638.88, 3,641.60 and 1,459.88 is: 2,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.88 : 3,641.60 = 1,459.88 : x
  2. Step 2: Convert to fraction form
    2,638.88/3,641.60 = 1,459.88/x
  3. Step 3: Cross multiply
    2,638.88x = 3,641.60 × 1,459.88
  4. Step 4: Simplify right side
    2,638.88x = 5,316,299.01
  5. Step 5: Solve for x
    x = 5,316,299.01/2,638.88
  6. Step 6: Final answer
    x = 2,014.60

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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.