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Finding the Fourth Proportional to 1,666.36, 2,496.91 and 1,080.33

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Solution

The fourth proportional to 1,666.36, 2,496.91 and 1,080.33 is: 1,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.36 : 2,496.91 = 1,080.33 : x
  2. Step 2: Convert to fraction form
    1,666.36/2,496.91 = 1,080.33/x
  3. Step 3: Cross multiply
    1,666.36x = 2,496.91 × 1,080.33
  4. Step 4: Simplify right side
    1,666.36x = 2,697,486.78
  5. Step 5: Solve for x
    x = 2,697,486.78/1,666.36
  6. Step 6: Final answer
    x = 1,618.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.