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Finding the Fourth Proportional to 3,284.28, 4,532.70 and 1,887

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Solution

The fourth proportional to 3,284.28, 4,532.70 and 1,887 is: 2,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.28 : 4,532.70 = 1,887 : x
  2. Step 2: Convert to fraction form
    3,284.28/4,532.70 = 1,887/x
  3. Step 3: Cross multiply
    3,284.28x = 4,532.70 × 1,887
  4. Step 4: Simplify right side
    3,284.28x = 8,553,204.90
  5. Step 5: Solve for x
    x = 8,553,204.90/3,284.28
  6. Step 6: Final answer
    x = 2,604.29

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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.