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Finding the Fourth Proportional to 1,984.10, 2,976.55 and 751.28

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Solution

The fourth proportional to 1,984.10, 2,976.55 and 751.28 is: 1,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.10 : 2,976.55 = 751.28 : x
  2. Step 2: Convert to fraction form
    1,984.10/2,976.55 = 751.28/x
  3. Step 3: Cross multiply
    1,984.10x = 2,976.55 × 751.28
  4. Step 4: Simplify right side
    1,984.10x = 2,236,205.72
  5. Step 5: Solve for x
    x = 2,236,205.72/1,984.10
  6. Step 6: Final answer
    x = 1,127.07

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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.