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Finding the Fourth Proportional to 1,611.00, 2,397.21 and 1,605.53

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Solution

The fourth proportional to 1,611.00, 2,397.21 and 1,605.53 is: 2,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.00 : 2,397.21 = 1,605.53 : x
  2. Step 2: Convert to fraction form
    1,611.00/2,397.21 = 1,605.53/x
  3. Step 3: Cross multiply
    1,611.00x = 2,397.21 × 1,605.53
  4. Step 4: Simplify right side
    1,611.00x = 3,848,797.04
  5. Step 5: Solve for x
    x = 3,848,797.04/1,611.00
  6. Step 6: Final answer
    x = 2,389.07

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Why These Related Problems?

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