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Finding the Fourth Proportional to 2,536.75, 3,804.54 and 976.24

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Solution

The fourth proportional to 2,536.75, 3,804.54 and 976.24 is: 1,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.75 : 3,804.54 = 976.24 : x
  2. Step 2: Convert to fraction form
    2,536.75/3,804.54 = 976.24/x
  3. Step 3: Cross multiply
    2,536.75x = 3,804.54 × 976.24
  4. Step 4: Simplify right side
    2,536.75x = 3,714,144.13
  5. Step 5: Solve for x
    x = 3,714,144.13/2,536.75
  6. Step 6: Final answer
    x = 1,464.13

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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.