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Finding the Fourth Proportional to 2,938.56, 4,056.96 and 1,760

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Solution

The fourth proportional to 2,938.56, 4,056.96 and 1,760 is: 2,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.56 : 4,056.96 = 1,760 : x
  2. Step 2: Convert to fraction form
    2,938.56/4,056.96 = 1,760/x
  3. Step 3: Cross multiply
    2,938.56x = 4,056.96 × 1,760
  4. Step 4: Simplify right side
    2,938.56x = 7,140,249.60
  5. Step 5: Solve for x
    x = 7,140,249.60/2,938.56
  6. Step 6: Final answer
    x = 2,429.85

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Why These Related Problems?

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