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Finding the Fourth Proportional to 3,157.68, 4,361.16 and 1,979.76

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Solution

The fourth proportional to 3,157.68, 4,361.16 and 1,979.76 is: 2,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.68 : 4,361.16 = 1,979.76 : x
  2. Step 2: Convert to fraction form
    3,157.68/4,361.16 = 1,979.76/x
  3. Step 3: Cross multiply
    3,157.68x = 4,361.16 × 1,979.76
  4. Step 4: Simplify right side
    3,157.68x = 8,634,050.12
  5. Step 5: Solve for x
    x = 8,634,050.12/3,157.68
  6. Step 6: Final answer
    x = 2,734.30

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1.5x scale

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.