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Finding the Fourth Proportional to 2,536.33, 3,804.52 and 781.33

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Solution

The fourth proportional to 2,536.33, 3,804.52 and 781.33 is: 1,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.33 : 3,804.52 = 781.33 : x
  2. Step 2: Convert to fraction form
    2,536.33/3,804.52 = 781.33/x
  3. Step 3: Cross multiply
    2,536.33x = 3,804.52 × 781.33
  4. Step 4: Simplify right side
    2,536.33x = 2,972,585.61
  5. Step 5: Solve for x
    x = 2,972,585.61/2,536.33
  6. Step 6: Final answer
    x = 1,172.00

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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.