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Finding the Fourth Proportional to 2,714.75, 4,072.73 and 1,154.82

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Solution

The fourth proportional to 2,714.75, 4,072.73 and 1,154.82 is: 1,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.75 : 4,072.73 = 1,154.82 : x
  2. Step 2: Convert to fraction form
    2,714.75/4,072.73 = 1,154.82/x
  3. Step 3: Cross multiply
    2,714.75x = 4,072.73 × 1,154.82
  4. Step 4: Simplify right side
    2,714.75x = 4,703,264.28
  5. Step 5: Solve for x
    x = 4,703,264.28/2,714.75
  6. Step 6: Final answer
    x = 1,732.49

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1.5x scale

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.