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Finding the Fourth Proportional to 1,778.44, 2,464.63 and 1,743.88

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Solution

The fourth proportional to 1,778.44, 2,464.63 and 1,743.88 is: 2,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.44 : 2,464.63 = 1,743.88 : x
  2. Step 2: Convert to fraction form
    1,778.44/2,464.63 = 1,743.88/x
  3. Step 3: Cross multiply
    1,778.44x = 2,464.63 × 1,743.88
  4. Step 4: Simplify right side
    1,778.44x = 4,298,018.96
  5. Step 5: Solve for x
    x = 4,298,018.96/1,778.44
  6. Step 6: Final answer
    x = 2,416.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.