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Finding the Fourth Proportional to 2,396.19, 3,594.60 and 836.22

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Solution

The fourth proportional to 2,396.19, 3,594.60 and 836.22 is: 1,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.19 : 3,594.60 = 836.22 : x
  2. Step 2: Convert to fraction form
    2,396.19/3,594.60 = 836.22/x
  3. Step 3: Cross multiply
    2,396.19x = 3,594.60 × 836.22
  4. Step 4: Simplify right side
    2,396.19x = 3,005,876.41
  5. Step 5: Solve for x
    x = 3,005,876.41/2,396.19
  6. Step 6: Final answer
    x = 1,254.44

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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.