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Finding the Fourth Proportional to 2,357.36, 3,536.24 and 626

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Solution

The fourth proportional to 2,357.36, 3,536.24 and 626 is: 939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.36 : 3,536.24 = 626 : x
  2. Step 2: Convert to fraction form
    2,357.36/3,536.24 = 626/x
  3. Step 3: Cross multiply
    2,357.36x = 3,536.24 × 626
  4. Step 4: Simplify right side
    2,357.36x = 2,213,686.24
  5. Step 5: Solve for x
    x = 2,213,686.24/2,357.36
  6. Step 6: Final answer
    x = 939.05

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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.