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Finding the Fourth Proportional to 2,591.96, 3,884.16 and 1,420.98

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Solution

The fourth proportional to 2,591.96, 3,884.16 and 1,420.98 is: 2,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.96 : 3,884.16 = 1,420.98 : x
  2. Step 2: Convert to fraction form
    2,591.96/3,884.16 = 1,420.98/x
  3. Step 3: Cross multiply
    2,591.96x = 3,884.16 × 1,420.98
  4. Step 4: Simplify right side
    2,591.96x = 5,519,313.68
  5. Step 5: Solve for x
    x = 5,519,313.68/2,591.96
  6. Step 6: Final answer
    x = 2,129.40

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1.5x scale

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.