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Finding the Fourth Proportional to 2,944.70, 4,062.80 and 1,765.34

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Solution

The fourth proportional to 2,944.70, 4,062.80 and 1,765.34 is: 2,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.70 : 4,062.80 = 1,765.34 : x
  2. Step 2: Convert to fraction form
    2,944.70/4,062.80 = 1,765.34/x
  3. Step 3: Cross multiply
    2,944.70x = 4,062.80 × 1,765.34
  4. Step 4: Simplify right side
    2,944.70x = 7,172,223.35
  5. Step 5: Solve for x
    x = 7,172,223.35/2,944.70
  6. Step 6: Final answer
    x = 2,435.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.