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Finding the Fourth Proportional to 2,283.12, 3,423.06 and 1,512

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Solution

The fourth proportional to 2,283.12, 3,423.06 and 1,512 is: 2,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.12 : 3,423.06 = 1,512 : x
  2. Step 2: Convert to fraction form
    2,283.12/3,423.06 = 1,512/x
  3. Step 3: Cross multiply
    2,283.12x = 3,423.06 × 1,512
  4. Step 4: Simplify right side
    2,283.12x = 5,175,666.72
  5. Step 5: Solve for x
    x = 5,175,666.72/2,283.12
  6. Step 6: Final answer
    x = 2,266.93

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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.