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Finding the Fourth Proportional to 2,785.98, 4,179.38 and 837.93

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Solution

The fourth proportional to 2,785.98, 4,179.38 and 837.93 is: 1,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.98 : 4,179.38 = 837.93 : x
  2. Step 2: Convert to fraction form
    2,785.98/4,179.38 = 837.93/x
  3. Step 3: Cross multiply
    2,785.98x = 4,179.38 × 837.93
  4. Step 4: Simplify right side
    2,785.98x = 3,502,023.69
  5. Step 5: Solve for x
    x = 3,502,023.69/2,785.98
  6. Step 6: Final answer
    x = 1,257.02

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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.