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Finding the Fourth Proportional to 2,053.86, 3,081.96 and 1,080.24

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Solution

The fourth proportional to 2,053.86, 3,081.96 and 1,080.24 is: 1,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.86 : 3,081.96 = 1,080.24 : x
  2. Step 2: Convert to fraction form
    2,053.86/3,081.96 = 1,080.24/x
  3. Step 3: Cross multiply
    2,053.86x = 3,081.96 × 1,080.24
  4. Step 4: Simplify right side
    2,053.86x = 3,329,256.47
  5. Step 5: Solve for x
    x = 3,329,256.47/2,053.86
  6. Step 6: Final answer
    x = 1,620.98

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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.