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Finding the Fourth Proportional to 2,714.94, 4,066.74 and 1,736.07

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Solution

The fourth proportional to 2,714.94, 4,066.74 and 1,736.07 is: 2,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.94 : 4,066.74 = 1,736.07 : x
  2. Step 2: Convert to fraction form
    2,714.94/4,066.74 = 1,736.07/x
  3. Step 3: Cross multiply
    2,714.94x = 4,066.74 × 1,736.07
  4. Step 4: Simplify right side
    2,714.94x = 7,060,145.31
  5. Step 5: Solve for x
    x = 7,060,145.31/2,714.94
  6. Step 6: Final answer
    x = 2,600.48

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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.