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Finding the Fourth Proportional to 2,291, 3,162.30 and 1,463

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Solution

The fourth proportional to 2,291, 3,162.30 and 1,463 is: 2,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291 : 3,162.30 = 1,463 : x
  2. Step 2: Convert to fraction form
    2,291/3,162.30 = 1,463/x
  3. Step 3: Cross multiply
    2,291x = 3,162.30 × 1,463
  4. Step 4: Simplify right side
    2,291x = 4,626,444.90
  5. Step 5: Solve for x
    x = 4,626,444.90/2,291
  6. Step 6: Final answer
    x = 2,019.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.