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Finding the Fourth Proportional to 2,784.40, 4,175.37 and 836.23

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Solution

The fourth proportional to 2,784.40, 4,175.37 and 836.23 is: 1,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.40 : 4,175.37 = 836.23 : x
  2. Step 2: Convert to fraction form
    2,784.40/4,175.37 = 836.23/x
  3. Step 3: Cross multiply
    2,784.40x = 4,175.37 × 836.23
  4. Step 4: Simplify right side
    2,784.40x = 3,491,569.66
  5. Step 5: Solve for x
    x = 3,491,569.66/2,784.40
  6. Step 6: Final answer
    x = 1,253.98

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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.