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Finding the Fourth Proportional to 2,614.16, 3,603.80 and 1,618.94

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Solution

The fourth proportional to 2,614.16, 3,603.80 and 1,618.94 is: 2,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.16 : 3,603.80 = 1,618.94 : x
  2. Step 2: Convert to fraction form
    2,614.16/3,603.80 = 1,618.94/x
  3. Step 3: Cross multiply
    2,614.16x = 3,603.80 × 1,618.94
  4. Step 4: Simplify right side
    2,614.16x = 5,834,309.86
  5. Step 5: Solve for x
    x = 5,834,309.86/2,614.16
  6. Step 6: Final answer
    x = 2,231.81

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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.