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Finding the Fourth Proportional to 2,982.52, 4,471.02 and 1,133.08

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Solution

The fourth proportional to 2,982.52, 4,471.02 and 1,133.08 is: 1,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.52 : 4,471.02 = 1,133.08 : x
  2. Step 2: Convert to fraction form
    2,982.52/4,471.02 = 1,133.08/x
  3. Step 3: Cross multiply
    2,982.52x = 4,471.02 × 1,133.08
  4. Step 4: Simplify right side
    2,982.52x = 5,066,023.34
  5. Step 5: Solve for x
    x = 5,066,023.34/2,982.52
  6. Step 6: Final answer
    x = 1,698.57

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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.