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Finding the Fourth Proportional to 1,982.72, 2,974.86 and 750.47

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Solution

The fourth proportional to 1,982.72, 2,974.86 and 750.47 is: 1,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.72 : 2,974.86 = 750.47 : x
  2. Step 2: Convert to fraction form
    1,982.72/2,974.86 = 750.47/x
  3. Step 3: Cross multiply
    1,982.72x = 2,974.86 × 750.47
  4. Step 4: Simplify right side
    1,982.72x = 2,232,528.31
  5. Step 5: Solve for x
    x = 2,232,528.31/1,982.72
  6. Step 6: Final answer
    x = 1,126.00

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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.