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Finding the Fourth Proportional to 2,356.44, 3,536.27 and 1,203

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Solution

The fourth proportional to 2,356.44, 3,536.27 and 1,203 is: 1,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.44 : 3,536.27 = 1,203 : x
  2. Step 2: Convert to fraction form
    2,356.44/3,536.27 = 1,203/x
  3. Step 3: Cross multiply
    2,356.44x = 3,536.27 × 1,203
  4. Step 4: Simplify right side
    2,356.44x = 4,254,132.81
  5. Step 5: Solve for x
    x = 4,254,132.81/2,356.44
  6. Step 6: Final answer
    x = 1,805.32

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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.