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Finding the Fourth Proportional to 2,511.96, 3,767.68 and 780.60

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Solution

The fourth proportional to 2,511.96, 3,767.68 and 780.60 is: 1,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.96 : 3,767.68 = 780.60 : x
  2. Step 2: Convert to fraction form
    2,511.96/3,767.68 = 780.60/x
  3. Step 3: Cross multiply
    2,511.96x = 3,767.68 × 780.60
  4. Step 4: Simplify right side
    2,511.96x = 2,941,051.01
  5. Step 5: Solve for x
    x = 2,941,051.01/2,511.96
  6. Step 6: Final answer
    x = 1,170.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.