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Finding the Fourth Proportional to 1,757.50, 2,634.60 and 602.44

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Solution

The fourth proportional to 1,757.50, 2,634.60 and 602.44 is: 903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.50 : 2,634.60 = 602.44 : x
  2. Step 2: Convert to fraction form
    1,757.50/2,634.60 = 602.44/x
  3. Step 3: Cross multiply
    1,757.50x = 2,634.60 × 602.44
  4. Step 4: Simplify right side
    1,757.50x = 1,587,184.10
  5. Step 5: Solve for x
    x = 1,587,184.10/1,757.50
  6. Step 6: Final answer
    x = 903.09

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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.