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Finding the Fourth Proportional to 1,819.47, 2,511.63 and 1,230.80

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Solution

The fourth proportional to 1,819.47, 2,511.63 and 1,230.80 is: 1,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.47 : 2,511.63 = 1,230.80 : x
  2. Step 2: Convert to fraction form
    1,819.47/2,511.63 = 1,230.80/x
  3. Step 3: Cross multiply
    1,819.47x = 2,511.63 × 1,230.80
  4. Step 4: Simplify right side
    1,819.47x = 3,091,301.65
  5. Step 5: Solve for x
    x = 3,091,301.65/1,819.47
  6. Step 6: Final answer
    x = 1,699.01

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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.