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Finding the Fourth Proportional to 1,984.50, 2,975.97 and 751.74

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Solution

The fourth proportional to 1,984.50, 2,975.97 and 751.74 is: 1,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.50 : 2,975.97 = 751.74 : x
  2. Step 2: Convert to fraction form
    1,984.50/2,975.97 = 751.74/x
  3. Step 3: Cross multiply
    1,984.50x = 2,975.97 × 751.74
  4. Step 4: Simplify right side
    1,984.50x = 2,237,155.69
  5. Step 5: Solve for x
    x = 2,237,155.69/1,984.50
  6. Step 6: Final answer
    x = 1,127.31

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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.