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Finding the Fourth Proportional to 1,876.37, 2,589.86 and 1,080.08

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Solution

The fourth proportional to 1,876.37, 2,589.86 and 1,080.08 is: 1,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.37 : 2,589.86 = 1,080.08 : x
  2. Step 2: Convert to fraction form
    1,876.37/2,589.86 = 1,080.08/x
  3. Step 3: Cross multiply
    1,876.37x = 2,589.86 × 1,080.08
  4. Step 4: Simplify right side
    1,876.37x = 2,797,263.94
  5. Step 5: Solve for x
    x = 2,797,263.94/1,876.37
  6. Step 6: Final answer
    x = 1,490.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.