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Finding the Fourth Proportional to 1,757.40, 2,426.40 and 1,609.44

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Solution

The fourth proportional to 1,757.40, 2,426.40 and 1,609.44 is: 2,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.40 : 2,426.40 = 1,609.44 : x
  2. Step 2: Convert to fraction form
    1,757.40/2,426.40 = 1,609.44/x
  3. Step 3: Cross multiply
    1,757.40x = 2,426.40 × 1,609.44
  4. Step 4: Simplify right side
    1,757.40x = 3,905,145.22
  5. Step 5: Solve for x
    x = 3,905,145.22/1,757.40
  6. Step 6: Final answer
    x = 2,222.12

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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.