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Finding the Fourth Proportional to 2,785.59, 4,178.39 and 837.54

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Solution

The fourth proportional to 2,785.59, 4,178.39 and 837.54 is: 1,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.59 : 4,178.39 = 837.54 : x
  2. Step 2: Convert to fraction form
    2,785.59/4,178.39 = 837.54/x
  3. Step 3: Cross multiply
    2,785.59x = 4,178.39 × 837.54
  4. Step 4: Simplify right side
    2,785.59x = 3,499,564.57
  5. Step 5: Solve for x
    x = 3,499,564.57/2,785.59
  6. Step 6: Final answer
    x = 1,256.31

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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.