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Finding the Fourth Proportional to 2,714.43, 4,071.65 and 982.65

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Solution

The fourth proportional to 2,714.43, 4,071.65 and 982.65 is: 1,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.43 : 4,071.65 = 982.65 : x
  2. Step 2: Convert to fraction form
    2,714.43/4,071.65 = 982.65/x
  3. Step 3: Cross multiply
    2,714.43x = 4,071.65 × 982.65
  4. Step 4: Simplify right side
    2,714.43x = 4,001,006.87
  5. Step 5: Solve for x
    x = 4,001,006.87/2,714.43
  6. Step 6: Final answer
    x = 1,473.98

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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.