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Finding the Fourth Proportional to 2,597.72, 3,898.55 and 1,906.14

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Solution

The fourth proportional to 2,597.72, 3,898.55 and 1,906.14 is: 2,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.72 : 3,898.55 = 1,906.14 : x
  2. Step 2: Convert to fraction form
    2,597.72/3,898.55 = 1,906.14/x
  3. Step 3: Cross multiply
    2,597.72x = 3,898.55 × 1,906.14
  4. Step 4: Simplify right side
    2,597.72x = 7,431,182.10
  5. Step 5: Solve for x
    x = 7,431,182.10/2,597.72
  6. Step 6: Final answer
    x = 2,860.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.