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Finding the Fourth Proportional to 2,331.76, 3,494.76 and 1,177.84

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Solution

The fourth proportional to 2,331.76, 3,494.76 and 1,177.84 is: 1,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.76 : 3,494.76 = 1,177.84 : x
  2. Step 2: Convert to fraction form
    2,331.76/3,494.76 = 1,177.84/x
  3. Step 3: Cross multiply
    2,331.76x = 3,494.76 × 1,177.84
  4. Step 4: Simplify right side
    2,331.76x = 4,116,268.12
  5. Step 5: Solve for x
    x = 4,116,268.12/2,331.76
  6. Step 6: Final answer
    x = 1,765.31

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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.