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Finding the Fourth Proportional to 1,773.80, 2,671.02 and 1,314.83

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Solution

The fourth proportional to 1,773.80, 2,671.02 and 1,314.83 is: 1,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.80 : 2,671.02 = 1,314.83 : x
  2. Step 2: Convert to fraction form
    1,773.80/2,671.02 = 1,314.83/x
  3. Step 3: Cross multiply
    1,773.80x = 2,671.02 × 1,314.83
  4. Step 4: Simplify right side
    1,773.80x = 3,511,937.23
  5. Step 5: Solve for x
    x = 3,511,937.23/1,773.80
  6. Step 6: Final answer
    x = 1,979.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.