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Finding the Fourth Proportional to 2,536.22, 3,804.51 and 687.35

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Solution

The fourth proportional to 2,536.22, 3,804.51 and 687.35 is: 1,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.22 : 3,804.51 = 687.35 : x
  2. Step 2: Convert to fraction form
    2,536.22/3,804.51 = 687.35/x
  3. Step 3: Cross multiply
    2,536.22x = 3,804.51 × 687.35
  4. Step 4: Simplify right side
    2,536.22x = 2,615,029.95
  5. Step 5: Solve for x
    x = 2,615,029.95/2,536.22
  6. Step 6: Final answer
    x = 1,031.07

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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.