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Finding the Fourth Proportional to 1,482.73, 2,046.09 and 819.55

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Solution

The fourth proportional to 1,482.73, 2,046.09 and 819.55 is: 1,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.73 : 2,046.09 = 819.55 : x
  2. Step 2: Convert to fraction form
    1,482.73/2,046.09 = 819.55/x
  3. Step 3: Cross multiply
    1,482.73x = 2,046.09 × 819.55
  4. Step 4: Simplify right side
    1,482.73x = 1,676,870.06
  5. Step 5: Solve for x
    x = 1,676,870.06/1,482.73
  6. Step 6: Final answer
    x = 1,130.93

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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.