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Finding the Fourth Proportional to 2,476.79, 3,714.15 and 832.94

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Solution

The fourth proportional to 2,476.79, 3,714.15 and 832.94 is: 1,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.79 : 3,714.15 = 832.94 : x
  2. Step 2: Convert to fraction form
    2,476.79/3,714.15 = 832.94/x
  3. Step 3: Cross multiply
    2,476.79x = 3,714.15 × 832.94
  4. Step 4: Simplify right side
    2,476.79x = 3,093,664.10
  5. Step 5: Solve for x
    x = 3,093,664.10/2,476.79
  6. Step 6: Final answer
    x = 1,249.06

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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.