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Finding the Fourth Proportional to 1,666.33, 2,282.85 and 1,604.01

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Solution

The fourth proportional to 1,666.33, 2,282.85 and 1,604.01 is: 2,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.33 : 2,282.85 = 1,604.01 : x
  2. Step 2: Convert to fraction form
    1,666.33/2,282.85 = 1,604.01/x
  3. Step 3: Cross multiply
    1,666.33x = 2,282.85 × 1,604.01
  4. Step 4: Simplify right side
    1,666.33x = 3,661,714.23
  5. Step 5: Solve for x
    x = 3,661,714.23/1,666.33
  6. Step 6: Final answer
    x = 2,197.47

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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.