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Finding the Fourth Proportional to 2,783.61, 4,175.29 and 835.75

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Solution

The fourth proportional to 2,783.61, 4,175.29 and 835.75 is: 1,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.61 : 4,175.29 = 835.75 : x
  2. Step 2: Convert to fraction form
    2,783.61/4,175.29 = 835.75/x
  3. Step 3: Cross multiply
    2,783.61x = 4,175.29 × 835.75
  4. Step 4: Simplify right side
    2,783.61x = 3,489,498.62
  5. Step 5: Solve for x
    x = 3,489,498.62/2,783.61
  6. Step 6: Final answer
    x = 1,253.59

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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.