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Finding the Fourth Proportional to 2,832.51, 4,249.71 and 984.09

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Solution

The fourth proportional to 2,832.51, 4,249.71 and 984.09 is: 1,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.51 : 4,249.71 = 984.09 : x
  2. Step 2: Convert to fraction form
    2,832.51/4,249.71 = 984.09/x
  3. Step 3: Cross multiply
    2,832.51x = 4,249.71 × 984.09
  4. Step 4: Simplify right side
    2,832.51x = 4,182,097.11
  5. Step 5: Solve for x
    x = 4,182,097.11/2,832.51
  6. Step 6: Final answer
    x = 1,476.46

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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.