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Finding the Fourth Proportional to 2,283.12, 3,424.68 and 1,512

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Solution

The fourth proportional to 2,283.12, 3,424.68 and 1,512 is: 2,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.12 : 3,424.68 = 1,512 : x
  2. Step 2: Convert to fraction form
    2,283.12/3,424.68 = 1,512/x
  3. Step 3: Cross multiply
    2,283.12x = 3,424.68 × 1,512
  4. Step 4: Simplify right side
    2,283.12x = 5,178,116.16
  5. Step 5: Solve for x
    x = 5,178,116.16/2,283.12
  6. Step 6: Final answer
    x = 2,268

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.