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Finding the Fourth Proportional to 3,019.50, 4,530.45 and 1,376.82

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Solution

The fourth proportional to 3,019.50, 4,530.45 and 1,376.82 is: 2,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.50 : 4,530.45 = 1,376.82 : x
  2. Step 2: Convert to fraction form
    3,019.50/4,530.45 = 1,376.82/x
  3. Step 3: Cross multiply
    3,019.50x = 4,530.45 × 1,376.82
  4. Step 4: Simplify right side
    3,019.50x = 6,237,614.17
  5. Step 5: Solve for x
    x = 6,237,614.17/3,019.50
  6. Step 6: Final answer
    x = 2,065.78

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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.