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Finding the Fourth Proportional to 1,819.93, 2,511.50 and 1,033.98

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Solution

The fourth proportional to 1,819.93, 2,511.50 and 1,033.98 is: 1,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.93 : 2,511.50 = 1,033.98 : x
  2. Step 2: Convert to fraction form
    1,819.93/2,511.50 = 1,033.98/x
  3. Step 3: Cross multiply
    1,819.93x = 2,511.50 × 1,033.98
  4. Step 4: Simplify right side
    1,819.93x = 2,596,828.21
  5. Step 5: Solve for x
    x = 2,596,828.21/1,819.93
  6. Step 6: Final answer
    x = 1,426.89

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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.