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Finding the Fourth Proportional to 1,820.52, 2,511.24 and 1,074.24

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Solution

The fourth proportional to 1,820.52, 2,511.24 and 1,074.24 is: 1,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.52 : 2,511.24 = 1,074.24 : x
  2. Step 2: Convert to fraction form
    1,820.52/2,511.24 = 1,074.24/x
  3. Step 3: Cross multiply
    1,820.52x = 2,511.24 × 1,074.24
  4. Step 4: Simplify right side
    1,820.52x = 2,697,674.46
  5. Step 5: Solve for x
    x = 2,697,674.46/1,820.52
  6. Step 6: Final answer
    x = 1,481.82

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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.