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Finding the Fourth Proportional to 2,724.41, 4,087.34 and 776.63

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Solution

The fourth proportional to 2,724.41, 4,087.34 and 776.63 is: 1,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.41 : 4,087.34 = 776.63 : x
  2. Step 2: Convert to fraction form
    2,724.41/4,087.34 = 776.63/x
  3. Step 3: Cross multiply
    2,724.41x = 4,087.34 × 776.63
  4. Step 4: Simplify right side
    2,724.41x = 3,174,350.86
  5. Step 5: Solve for x
    x = 3,174,350.86/2,724.41
  6. Step 6: Final answer
    x = 1,165.15

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Why These Related Problems?

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