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Finding the Fourth Proportional to 2,475.81, 3,714.24 and 832.29

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Solution

The fourth proportional to 2,475.81, 3,714.24 and 832.29 is: 1,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.81 : 3,714.24 = 832.29 : x
  2. Step 2: Convert to fraction form
    2,475.81/3,714.24 = 832.29/x
  3. Step 3: Cross multiply
    2,475.81x = 3,714.24 × 832.29
  4. Step 4: Simplify right side
    2,475.81x = 3,091,324.81
  5. Step 5: Solve for x
    x = 3,091,324.81/2,475.81
  6. Step 6: Final answer
    x = 1,248.61

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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.