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Finding the Fourth Proportional to 2,072.64, 3,108.84 and 918

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Solution

The fourth proportional to 2,072.64, 3,108.84 and 918 is: 1,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.64 : 3,108.84 = 918 : x
  2. Step 2: Convert to fraction form
    2,072.64/3,108.84 = 918/x
  3. Step 3: Cross multiply
    2,072.64x = 3,108.84 × 918
  4. Step 4: Simplify right side
    2,072.64x = 2,853,915.12
  5. Step 5: Solve for x
    x = 2,853,915.12/2,072.64
  6. Step 6: Final answer
    x = 1,376.95

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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.