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Finding the Fourth Proportional to 2,284.75, 3,152.96 and 1,236.81

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Solution

The fourth proportional to 2,284.75, 3,152.96 and 1,236.81 is: 1,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.75 : 3,152.96 = 1,236.81 : x
  2. Step 2: Convert to fraction form
    2,284.75/3,152.96 = 1,236.81/x
  3. Step 3: Cross multiply
    2,284.75x = 3,152.96 × 1,236.81
  4. Step 4: Simplify right side
    2,284.75x = 3,899,612.46
  5. Step 5: Solve for x
    x = 3,899,612.46/2,284.75
  6. Step 6: Final answer
    x = 1,706.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.