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Finding the Fourth Proportional to 3,157.74, 4,357.64 and 1,741.55

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Solution

The fourth proportional to 3,157.74, 4,357.64 and 1,741.55 is: 2,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.74 : 4,357.64 = 1,741.55 : x
  2. Step 2: Convert to fraction form
    3,157.74/4,357.64 = 1,741.55/x
  3. Step 3: Cross multiply
    3,157.74x = 4,357.64 × 1,741.55
  4. Step 4: Simplify right side
    3,157.74x = 7,589,026.15
  5. Step 5: Solve for x
    x = 7,589,026.15/3,157.74
  6. Step 6: Final answer
    x = 2,403.31

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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.