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Finding the Fourth Proportional to 2,077.08, 3,115.56 and 982.23

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Solution

The fourth proportional to 2,077.08, 3,115.56 and 982.23 is: 1,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.08 : 3,115.56 = 982.23 : x
  2. Step 2: Convert to fraction form
    2,077.08/3,115.56 = 982.23/x
  3. Step 3: Cross multiply
    2,077.08x = 3,115.56 × 982.23
  4. Step 4: Simplify right side
    2,077.08x = 3,060,196.50
  5. Step 5: Solve for x
    x = 3,060,196.50/2,077.08
  6. Step 6: Final answer
    x = 1,473.32

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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.