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Finding the Fourth Proportional to 1,819.65, 2,511.20 and 1,033.77

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Solution

The fourth proportional to 1,819.65, 2,511.20 and 1,033.77 is: 1,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.65 : 2,511.20 = 1,033.77 : x
  2. Step 2: Convert to fraction form
    1,819.65/2,511.20 = 1,033.77/x
  3. Step 3: Cross multiply
    1,819.65x = 2,511.20 × 1,033.77
  4. Step 4: Simplify right side
    1,819.65x = 2,596,003.22
  5. Step 5: Solve for x
    x = 2,596,003.22/1,819.65
  6. Step 6: Final answer
    x = 1,426.65

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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.