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Finding the Fourth Proportional to 2,837.52, 4,256.24 and 785.52

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Solution

The fourth proportional to 2,837.52, 4,256.24 and 785.52 is: 1,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.52 : 4,256.24 = 785.52 : x
  2. Step 2: Convert to fraction form
    2,837.52/4,256.24 = 785.52/x
  3. Step 3: Cross multiply
    2,837.52x = 4,256.24 × 785.52
  4. Step 4: Simplify right side
    2,837.52x = 3,343,361.64
  5. Step 5: Solve for x
    x = 3,343,361.64/2,837.52
  6. Step 6: Final answer
    x = 1,178.27

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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.