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Finding the Fourth Proportional to 2,203.70, 3,308.14 and 1,741.80

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Solution

The fourth proportional to 2,203.70, 3,308.14 and 1,741.80 is: 2,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.70 : 3,308.14 = 1,741.80 : x
  2. Step 2: Convert to fraction form
    2,203.70/3,308.14 = 1,741.80/x
  3. Step 3: Cross multiply
    2,203.70x = 3,308.14 × 1,741.80
  4. Step 4: Simplify right side
    2,203.70x = 5,762,118.25
  5. Step 5: Solve for x
    x = 5,762,118.25/2,203.70
  6. Step 6: Final answer
    x = 2,614.75

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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.