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Finding the Fourth Proportional to 2,785.13, 4,177.69 and 837.33

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Solution

The fourth proportional to 2,785.13, 4,177.69 and 837.33 is: 1,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.13 : 4,177.69 = 837.33 : x
  2. Step 2: Convert to fraction form
    2,785.13/4,177.69 = 837.33/x
  3. Step 3: Cross multiply
    2,785.13x = 4,177.69 × 837.33
  4. Step 4: Simplify right side
    2,785.13x = 3,498,103.07
  5. Step 5: Solve for x
    x = 3,498,103.07/2,785.13
  6. Step 6: Final answer
    x = 1,256.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.