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Finding the Fourth Proportional to 3,086.63, 4,259.39 and 1,742.25

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Solution

The fourth proportional to 3,086.63, 4,259.39 and 1,742.25 is: 2,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.63 : 4,259.39 = 1,742.25 : x
  2. Step 2: Convert to fraction form
    3,086.63/4,259.39 = 1,742.25/x
  3. Step 3: Cross multiply
    3,086.63x = 4,259.39 × 1,742.25
  4. Step 4: Simplify right side
    3,086.63x = 7,420,913.52
  5. Step 5: Solve for x
    x = 7,420,913.52/3,086.63
  6. Step 6: Final answer
    x = 2,404.22

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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.