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Finding the Fourth Proportional to 2,714.13, 4,071.60 and 982.62

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Solution

The fourth proportional to 2,714.13, 4,071.60 and 982.62 is: 1,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.13 : 4,071.60 = 982.62 : x
  2. Step 2: Convert to fraction form
    2,714.13/4,071.60 = 982.62/x
  3. Step 3: Cross multiply
    2,714.13x = 4,071.60 × 982.62
  4. Step 4: Simplify right side
    2,714.13x = 4,000,835.59
  5. Step 5: Solve for x
    x = 4,000,835.59/2,714.13
  6. Step 6: Final answer
    x = 1,474.08

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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.