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Finding the Fourth Proportional to 2,299.32, 3,167.94 and 1,512

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Solution

The fourth proportional to 2,299.32, 3,167.94 and 1,512 is: 2,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.32 : 3,167.94 = 1,512 : x
  2. Step 2: Convert to fraction form
    2,299.32/3,167.94 = 1,512/x
  3. Step 3: Cross multiply
    2,299.32x = 3,167.94 × 1,512
  4. Step 4: Simplify right side
    2,299.32x = 4,789,925.28
  5. Step 5: Solve for x
    x = 4,789,925.28/2,299.32
  6. Step 6: Final answer
    x = 2,083.19

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Why These Related Problems?

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