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Finding the Fourth Proportional to 1,664.33, 2,280.11 and 1,602.01

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Solution

The fourth proportional to 1,664.33, 2,280.11 and 1,602.01 is: 2,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.33 : 2,280.11 = 1,602.01 : x
  2. Step 2: Convert to fraction form
    1,664.33/2,280.11 = 1,602.01/x
  3. Step 3: Cross multiply
    1,664.33x = 2,280.11 × 1,602.01
  4. Step 4: Simplify right side
    1,664.33x = 3,652,758.37
  5. Step 5: Solve for x
    x = 3,652,758.37/1,664.33
  6. Step 6: Final answer
    x = 2,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.