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Finding the Fourth Proportional to 2,840.69, 4,260.74 and 760.91

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Solution

The fourth proportional to 2,840.69, 4,260.74 and 760.91 is: 1,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.69 : 4,260.74 = 760.91 : x
  2. Step 2: Convert to fraction form
    2,840.69/4,260.74 = 760.91/x
  3. Step 3: Cross multiply
    2,840.69x = 4,260.74 × 760.91
  4. Step 4: Simplify right side
    2,840.69x = 3,242,014.57
  5. Step 5: Solve for x
    x = 3,242,014.57/2,840.69
  6. Step 6: Final answer
    x = 1,141.28

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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.