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Finding the Fourth Proportional to 1,885.67, 2,601.68 and 1,513.07

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Solution

The fourth proportional to 1,885.67, 2,601.68 and 1,513.07 is: 2,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.67 : 2,601.68 = 1,513.07 : x
  2. Step 2: Convert to fraction form
    1,885.67/2,601.68 = 1,513.07/x
  3. Step 3: Cross multiply
    1,885.67x = 2,601.68 × 1,513.07
  4. Step 4: Simplify right side
    1,885.67x = 3,936,523.96
  5. Step 5: Solve for x
    x = 3,936,523.96/1,885.67
  6. Step 6: Final answer
    x = 2,087.60

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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.