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Finding the Fourth Proportional to 2,714.78, 3,744.38 and 1,757.93

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Solution

The fourth proportional to 2,714.78, 3,744.38 and 1,757.93 is: 2,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.78 : 3,744.38 = 1,757.93 : x
  2. Step 2: Convert to fraction form
    2,714.78/3,744.38 = 1,757.93/x
  3. Step 3: Cross multiply
    2,714.78x = 3,744.38 × 1,757.93
  4. Step 4: Simplify right side
    2,714.78x = 6,582,357.93
  5. Step 5: Solve for x
    x = 6,582,357.93/2,714.78
  6. Step 6: Final answer
    x = 2,424.64

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1.5x scale

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.