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Finding the Fourth Proportional to 1,611.37, 2,404.09 and 1,435.95

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Solution

The fourth proportional to 1,611.37, 2,404.09 and 1,435.95 is: 2,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.37 : 2,404.09 = 1,435.95 : x
  2. Step 2: Convert to fraction form
    1,611.37/2,404.09 = 1,435.95/x
  3. Step 3: Cross multiply
    1,611.37x = 2,404.09 × 1,435.95
  4. Step 4: Simplify right side
    1,611.37x = 3,452,154.83
  5. Step 5: Solve for x
    x = 3,452,154.83/1,611.37
  6. Step 6: Final answer
    x = 2,142.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.