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Finding the Fourth Proportional to 2,840.67, 4,260.65 and 760.82

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Solution

The fourth proportional to 2,840.67, 4,260.65 and 760.82 is: 1,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.67 : 4,260.65 = 760.82 : x
  2. Step 2: Convert to fraction form
    2,840.67/4,260.65 = 760.82/x
  3. Step 3: Cross multiply
    2,840.67x = 4,260.65 × 760.82
  4. Step 4: Simplify right side
    2,840.67x = 3,241,562.63
  5. Step 5: Solve for x
    x = 3,241,562.63/2,840.67
  6. Step 6: Final answer
    x = 1,141.13

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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.