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Finding the Fourth Proportional to 2,714.12, 4,071.17 and 982.34

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Solution

The fourth proportional to 2,714.12, 4,071.17 and 982.34 is: 1,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.12 : 4,071.17 = 982.34 : x
  2. Step 2: Convert to fraction form
    2,714.12/4,071.17 = 982.34/x
  3. Step 3: Cross multiply
    2,714.12x = 4,071.17 × 982.34
  4. Step 4: Simplify right side
    2,714.12x = 3,999,273.14
  5. Step 5: Solve for x
    x = 3,999,273.14/2,714.12
  6. Step 6: Final answer
    x = 1,473.51

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1.5x scale

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.