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Finding the Fourth Proportional to 2,638.93, 3,641.55 and 1,459.99

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Solution

The fourth proportional to 2,638.93, 3,641.55 and 1,459.99 is: 2,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.93 : 3,641.55 = 1,459.99 : x
  2. Step 2: Convert to fraction form
    2,638.93/3,641.55 = 1,459.99/x
  3. Step 3: Cross multiply
    2,638.93x = 3,641.55 × 1,459.99
  4. Step 4: Simplify right side
    2,638.93x = 5,316,626.58
  5. Step 5: Solve for x
    x = 5,316,626.58/2,638.93
  6. Step 6: Final answer
    x = 2,014.69

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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.