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Finding the Fourth Proportional to 2,832, 4,249.80 and 1,464

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Solution

The fourth proportional to 2,832, 4,249.80 and 1,464 is: 2,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832 : 4,249.80 = 1,464 : x
  2. Step 2: Convert to fraction form
    2,832/4,249.80 = 1,464/x
  3. Step 3: Cross multiply
    2,832x = 4,249.80 × 1,464
  4. Step 4: Simplify right side
    2,832x = 6,221,707.20
  5. Step 5: Solve for x
    x = 6,221,707.20/2,832
  6. Step 6: Final answer
    x = 2,196.93

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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.