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Finding the Fourth Proportional to 3,157.64, 4,739.39 and 1,598.74

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Solution

The fourth proportional to 3,157.64, 4,739.39 and 1,598.74 is: 2,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.64 : 4,739.39 = 1,598.74 : x
  2. Step 2: Convert to fraction form
    3,157.64/4,739.39 = 1,598.74/x
  3. Step 3: Cross multiply
    3,157.64x = 4,739.39 × 1,598.74
  4. Step 4: Simplify right side
    3,157.64x = 7,577,050.30
  5. Step 5: Solve for x
    x = 7,577,050.30/3,157.64
  6. Step 6: Final answer
    x = 2,399.59

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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.