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Finding the Fourth Proportional to 1,666.34, 2,282.84 and 1,604.02

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Solution

The fourth proportional to 1,666.34, 2,282.84 and 1,604.02 is: 2,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.34 : 2,282.84 = 1,604.02 : x
  2. Step 2: Convert to fraction form
    1,666.34/2,282.84 = 1,604.02/x
  3. Step 3: Cross multiply
    1,666.34x = 2,282.84 × 1,604.02
  4. Step 4: Simplify right side
    1,666.34x = 3,661,721.02
  5. Step 5: Solve for x
    x = 3,661,721.02/1,666.34
  6. Step 6: Final answer
    x = 2,197.46

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