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Finding the Fourth Proportional to 1,611.55, 2,219.43 and 1,465.75

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Solution

The fourth proportional to 1,611.55, 2,219.43 and 1,465.75 is: 2,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.55 : 2,219.43 = 1,465.75 : x
  2. Step 2: Convert to fraction form
    1,611.55/2,219.43 = 1,465.75/x
  3. Step 3: Cross multiply
    1,611.55x = 2,219.43 × 1,465.75
  4. Step 4: Simplify right side
    1,611.55x = 3,253,129.52
  5. Step 5: Solve for x
    x = 3,253,129.52/1,611.55
  6. Step 6: Final answer
    x = 2,018.63

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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.