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Finding the Fourth Proportional to 1,983.71, 2,975.99 and 751.10

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Solution

The fourth proportional to 1,983.71, 2,975.99 and 751.10 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.71 : 2,975.99 = 751.10 : x
  2. Step 2: Convert to fraction form
    1,983.71/2,975.99 = 751.10/x
  3. Step 3: Cross multiply
    1,983.71x = 2,975.99 × 751.10
  4. Step 4: Simplify right side
    1,983.71x = 2,235,247.45
  5. Step 5: Solve for x
    x = 2,235,247.45/1,983.71
  6. Step 6: Final answer
    x = 1,126.80

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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.