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Finding the Fourth Proportional to 2,832.74, 4,250.16 and 984.06

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Solution

The fourth proportional to 2,832.74, 4,250.16 and 984.06 is: 1,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.74 : 4,250.16 = 984.06 : x
  2. Step 2: Convert to fraction form
    2,832.74/4,250.16 = 984.06/x
  3. Step 3: Cross multiply
    2,832.74x = 4,250.16 × 984.06
  4. Step 4: Simplify right side
    2,832.74x = 4,182,412.45
  5. Step 5: Solve for x
    x = 4,182,412.45/2,832.74
  6. Step 6: Final answer
    x = 1,476.45

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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.