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Finding the Fourth Proportional to 2,784.35, 4,175.30 and 836.10

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Solution

The fourth proportional to 2,784.35, 4,175.30 and 836.10 is: 1,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.35 : 4,175.30 = 836.10 : x
  2. Step 2: Convert to fraction form
    2,784.35/4,175.30 = 836.10/x
  3. Step 3: Cross multiply
    2,784.35x = 4,175.30 × 836.10
  4. Step 4: Simplify right side
    2,784.35x = 3,490,968.33
  5. Step 5: Solve for x
    x = 3,490,968.33/2,784.35
  6. Step 6: Final answer
    x = 1,253.78

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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.